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Finding the Fourth Proportional to 123,432, 185,156.64 and 49,560

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Solution

The fourth proportional to 123,432, 185,156.64 and 49,560 is: 74,343.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,432 : 185,156.64 = 49,560 : x
  2. Step 2: Convert to fraction form
    123,432/185,156.64 = 49,560/x
  3. Step 3: Cross multiply
    123,432x = 185,156.64 × 49,560
  4. Step 4: Simplify right side
    123,432x = 9,176,363,078.40
  5. Step 5: Solve for x
    x = 9,176,363,078.40/123,432
  6. Step 6: Final answer
    x = 74,343.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.