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Finding the Fourth Proportional to 102,432, 153,670.86 and 31,364.61

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Solution

The fourth proportional to 102,432, 153,670.86 and 31,364.61 is: 47,053.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,432 : 153,670.86 = 31,364.61 : x
  2. Step 2: Convert to fraction form
    102,432/153,670.86 = 31,364.61/x
  3. Step 3: Cross multiply
    102,432x = 153,670.86 × 31,364.61
  4. Step 4: Simplify right side
    102,432x = 4,819,826,592.26
  5. Step 5: Solve for x
    x = 4,819,826,592.26/102,432
  6. Step 6: Final answer
    x = 47,053.91

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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.