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Finding the Fourth Proportional to 180,553.68, 249,143.81 and 99,960.97

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Solution

The fourth proportional to 180,553.68, 249,143.81 and 99,960.97 is: 137,934.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,553.68 : 249,143.81 = 99,960.97 : x
  2. Step 2: Convert to fraction form
    180,553.68/249,143.81 = 99,960.97/x
  3. Step 3: Cross multiply
    180,553.68x = 249,143.81 × 99,960.97
  4. Step 4: Simplify right side
    180,553.68x = 24,904,656,917.10
  5. Step 5: Solve for x
    x = 24,904,656,917.10/180,553.68
  6. Step 6: Final answer
    x = 137,934.92

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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.