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Finding the Fourth Proportional to 102,673.76, 153,970.72 and 31,575.20

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Solution

The fourth proportional to 102,673.76, 153,970.72 and 31,575.20 is: 47,350.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,673.76 : 153,970.72 = 31,575.20 : x
  2. Step 2: Convert to fraction form
    102,673.76/153,970.72 = 31,575.20/x
  3. Step 3: Cross multiply
    102,673.76x = 153,970.72 × 31,575.20
  4. Step 4: Simplify right side
    102,673.76x = 4,861,656,278.14
  5. Step 5: Solve for x
    x = 4,861,656,278.14/102,673.76
  6. Step 6: Final answer
    x = 47,350.52

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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.