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Finding the Fourth Proportional to 137,704.64, 205,412.58 and 135,420.90

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Solution

The fourth proportional to 137,704.64, 205,412.58 and 135,420.90 is: 202,005.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,704.64 : 205,412.58 = 135,420.90 : x
  2. Step 2: Convert to fraction form
    137,704.64/205,412.58 = 135,420.90/x
  3. Step 3: Cross multiply
    137,704.64x = 205,412.58 × 135,420.90
  4. Step 4: Simplify right side
    137,704.64x = 27,817,156,454.92
  5. Step 5: Solve for x
    x = 27,817,156,454.92/137,704.64
  6. Step 6: Final answer
    x = 202,005.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.