Finding the Fourth Proportional to 204,829.81, 282,681.98 and 112,967.07
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Solution
The fourth proportional to 204,829.81, 282,681.98 and 112,967.07 is: 155,903.84
Step by Step Solution
- Step 1: Write the proportion equation
204,829.81 : 282,681.98 = 112,967.07 : x - Step 2: Convert to fraction form
204,829.81/282,681.98 = 112,967.07/x - Step 3: Cross multiply
204,829.81x = 282,681.98 × 112,967.07 - Step 4: Simplify right side
204,829.81x = 31,933,753,044.15 - Step 5: Solve for x
x = 31,933,753,044.15/204,829.81 - Step 6: Final answer
x = 155,903.84
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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.