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Finding the Fourth Proportional to 100,135.75, 138,187.47 and 62,410

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Solution

The fourth proportional to 100,135.75, 138,187.47 and 62,410 is: 86,125.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,135.75 : 138,187.47 = 62,410 : x
  2. Step 2: Convert to fraction form
    100,135.75/138,187.47 = 62,410/x
  3. Step 3: Cross multiply
    100,135.75x = 138,187.47 × 62,410
  4. Step 4: Simplify right side
    100,135.75x = 8,624,280,002.70
  5. Step 5: Solve for x
    x = 8,624,280,002.70/100,135.75
  6. Step 6: Final answer
    x = 86,125.88

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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.