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Finding the Fourth Proportional to 138,500.64, 191,151.36 and 102,640.32

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Solution

The fourth proportional to 138,500.64, 191,151.36 and 102,640.32 is: 141,658.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,500.64 : 191,151.36 = 102,640.32 : x
  2. Step 2: Convert to fraction form
    138,500.64/191,151.36 = 102,640.32/x
  3. Step 3: Cross multiply
    138,500.64x = 191,151.36 × 102,640.32
  4. Step 4: Simplify right side
    138,500.64x = 19,619,836,758.84
  5. Step 5: Solve for x
    x = 19,619,836,758.84/138,500.64
  6. Step 6: Final answer
    x = 141,658.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.