Finding the Fourth Proportional to 180,435,809.20, 249,001,656.97 and 97,929,593.95
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Solution
The fourth proportional to 180,435,809.20, 249,001,656.97 and 97,929,593.95 is: 135,142,970.06
Step by Step Solution
- Step 1: Write the proportion equation
180,435,809.20 : 249,001,656.97 = 97,929,593.95 : x - Step 2: Convert to fraction form
180,435,809.20/249,001,656.97 = 97,929,593.95/x - Step 3: Cross multiply
180,435,809.20x = 249,001,656.97 × 97,929,593.95 - Step 4: Simplify right side
180,435,809.20x = 24,384,631,159,949,288 - Step 5: Solve for x
x = 24,384,631,159,949,288/180,435,809.20 - Step 6: Final answer
x = 135,142,970.06
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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.