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Finding the Fourth Proportional to 138,039.32, 207,321.44 and 85,813.76

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Solution

The fourth proportional to 138,039.32, 207,321.44 and 85,813.76 is: 128,883.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,039.32 : 207,321.44 = 85,813.76 : x
  2. Step 2: Convert to fraction form
    138,039.32/207,321.44 = 85,813.76/x
  3. Step 3: Cross multiply
    138,039.32x = 207,321.44 × 85,813.76
  4. Step 4: Simplify right side
    138,039.32x = 17,791,032,295.01
  5. Step 5: Solve for x
    x = 17,791,032,295.01/138,039.32
  6. Step 6: Final answer
    x = 128,883.80

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1.5x scale

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.