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Finding the Fourth Proportional to 126,666.25, 174,723.28 and 83,646.14

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Solution

The fourth proportional to 126,666.25, 174,723.28 and 83,646.14 is: 115,381.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,666.25 : 174,723.28 = 83,646.14 : x
  2. Step 2: Convert to fraction form
    126,666.25/174,723.28 = 83,646.14/x
  3. Step 3: Cross multiply
    126,666.25x = 174,723.28 × 83,646.14
  4. Step 4: Simplify right side
    126,666.25x = 14,614,926,857.41
  5. Step 5: Solve for x
    x = 14,614,926,857.41/126,666.25
  6. Step 6: Final answer
    x = 115,381.38

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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.