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Finding the Fourth Proportional to 102,474, 153,733.71 and 31,406.46

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Solution

The fourth proportional to 102,474, 153,733.71 and 31,406.46 is: 47,116.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,474 : 153,733.71 = 31,406.46 : x
  2. Step 2: Convert to fraction form
    102,474/153,733.71 = 31,406.46/x
  3. Step 3: Cross multiply
    102,474x = 153,733.71 × 31,406.46
  4. Step 4: Simplify right side
    102,474x = 4,828,231,613.77
  5. Step 5: Solve for x
    x = 4,828,231,613.77/102,474
  6. Step 6: Final answer
    x = 47,116.65

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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.