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Finding the Fourth Proportional to 102,602.21, 153,951.92 and 71,060.81

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Solution

The fourth proportional to 102,602.21, 153,951.92 and 71,060.81 is: 106,624.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,602.21 : 153,951.92 = 71,060.81 : x
  2. Step 2: Convert to fraction form
    102,602.21/153,951.92 = 71,060.81/x
  3. Step 3: Cross multiply
    102,602.21x = 153,951.92 × 71,060.81
  4. Step 4: Simplify right side
    102,602.21x = 10,939,947,780.95
  5. Step 5: Solve for x
    x = 10,939,947,780.95/102,602.21
  6. Step 6: Final answer
    x = 106,624.87

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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.