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Finding the Fourth Proportional to 102,479.52, 153,723.99 and 31,397.06

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Solution

The fourth proportional to 102,479.52, 153,723.99 and 31,397.06 is: 47,097.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,479.52 : 153,723.99 = 31,397.06 : x
  2. Step 2: Convert to fraction form
    102,479.52/153,723.99 = 31,397.06/x
  3. Step 3: Cross multiply
    102,479.52x = 153,723.99 × 31,397.06
  4. Step 4: Simplify right side
    102,479.52x = 4,826,481,337.47
  5. Step 5: Solve for x
    x = 4,826,481,337.47/102,479.52
  6. Step 6: Final answer
    x = 47,097.03

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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.