Finding the Fourth Proportional to 100,205,349,875.91, 138,283,929,507.21 and 59,007,527,073.99
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Solution
The fourth proportional to 100,205,349,875.91, 138,283,929,507.21 and 59,007,527,073.99 is: 81,430,709,282.48
Step by Step Solution
- Step 1: Write the proportion equation
100,205,349,875.91 : 138,283,929,507.21 = 59,007,527,073.99 : x - Step 2: Convert to fraction form
100,205,349,875.91/138,283,929,507.21 = 59,007,527,073.99/x - Step 3: Cross multiply
100,205,349,875.91x = 138,283,929,507.21 × 59,007,527,073.99 - Step 4: Simplify right side
100,205,349,875.91x = 8,159,792,714,294,417,686,528 - Step 5: Solve for x
x = 8,159,792,714,294,417,686,528/100,205,349,875.91 - Step 6: Final answer
x = 81,430,709,282.48
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.