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Finding the Fourth Proportional to 137,758.61, 206,440.60 and 78,471.87

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Solution

The fourth proportional to 137,758.61, 206,440.60 and 78,471.87 is: 117,595.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,758.61 : 206,440.60 = 78,471.87 : x
  2. Step 2: Convert to fraction form
    137,758.61/206,440.60 = 78,471.87/x
  3. Step 3: Cross multiply
    137,758.61x = 206,440.60 × 78,471.87
  4. Step 4: Simplify right side
    137,758.61x = 16,199,779,925.92
  5. Step 5: Solve for x
    x = 16,199,779,925.92/137,758.61
  6. Step 6: Final answer
    x = 117,595.41

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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.