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Finding the Fourth Proportional to 137,510.64, 206,285.72 and 52,152.88

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Solution

The fourth proportional to 137,510.64, 206,285.72 and 52,152.88 is: 78,236.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,510.64 : 206,285.72 = 52,152.88 : x
  2. Step 2: Convert to fraction form
    137,510.64/206,285.72 = 52,152.88/x
  3. Step 3: Cross multiply
    137,510.64x = 206,285.72 × 52,152.88
  4. Step 4: Simplify right side
    137,510.64x = 10,758,394,400.87
  5. Step 5: Solve for x
    x = 10,758,394,400.87/137,510.64
  6. Step 6: Final answer
    x = 78,236.81

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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.