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Finding the Fourth Proportional to 132,842.18, 183,318.54 and 72,414

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Solution

The fourth proportional to 132,842.18, 183,318.54 and 72,414 is: 99,929.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,842.18 : 183,318.54 = 72,414 : x
  2. Step 2: Convert to fraction form
    132,842.18/183,318.54 = 72,414/x
  3. Step 3: Cross multiply
    132,842.18x = 183,318.54 × 72,414
  4. Step 4: Simplify right side
    132,842.18x = 13,274,828,891.34
  5. Step 5: Solve for x
    x = 13,274,828,891.34/132,842.18
  6. Step 6: Final answer
    x = 99,929.32

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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.