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Finding the Fourth Proportional to 102,138.98, 153,351.96 and 52,254.86

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Solution

The fourth proportional to 102,138.98, 153,351.96 and 52,254.86 is: 78,455.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,138.98 : 153,351.96 = 52,254.86 : x
  2. Step 2: Convert to fraction form
    102,138.98/153,351.96 = 52,254.86/x
  3. Step 3: Cross multiply
    102,138.98x = 153,351.96 × 52,254.86
  4. Step 4: Simplify right side
    102,138.98x = 8,013,385,200.53
  5. Step 5: Solve for x
    x = 8,013,385,200.53/102,138.98
  6. Step 6: Final answer
    x = 78,455.70

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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.