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Finding the Fourth Proportional to 115,730.38, 159,672.48 and 75,429.52

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Solution

The fourth proportional to 115,730.38, 159,672.48 and 75,429.52 is: 104,069.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,730.38 : 159,672.48 = 75,429.52 : x
  2. Step 2: Convert to fraction form
    115,730.38/159,672.48 = 75,429.52/x
  3. Step 3: Cross multiply
    115,730.38x = 159,672.48 × 75,429.52
  4. Step 4: Simplify right side
    115,730.38x = 12,044,018,523.61
  5. Step 5: Solve for x
    x = 12,044,018,523.61/115,730.38
  6. Step 6: Final answer
    x = 104,069.64

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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.