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Finding the Fourth Proportional to 133,116.38, 183,699.68 and 72,687

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Solution

The fourth proportional to 133,116.38, 183,699.68 and 72,687 is: 100,307.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,116.38 : 183,699.68 = 72,687 : x
  2. Step 2: Convert to fraction form
    133,116.38/183,699.68 = 72,687/x
  3. Step 3: Cross multiply
    133,116.38x = 183,699.68 × 72,687
  4. Step 4: Simplify right side
    133,116.38x = 13,352,578,640.16
  5. Step 5: Solve for x
    x = 13,352,578,640.16/133,116.38
  6. Step 6: Final answer
    x = 100,307.56

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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.