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Finding the Fourth Proportional to 88,384.60, 132,431.10 and 83,135.80

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Solution

The fourth proportional to 88,384.60, 132,431.10 and 83,135.80 is: 124,566.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,384.60 : 132,431.10 = 83,135.80 : x
  2. Step 2: Convert to fraction form
    88,384.60/132,431.10 = 83,135.80/x
  3. Step 3: Cross multiply
    88,384.60x = 132,431.10 × 83,135.80
  4. Step 4: Simplify right side
    88,384.60x = 11,009,765,443.38
  5. Step 5: Solve for x
    x = 11,009,765,443.38/88,384.60
  6. Step 6: Final answer
    x = 124,566.56

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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.