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Finding the Fourth Proportional to 90,624, 135,943.68 and 24,960

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Solution

The fourth proportional to 90,624, 135,943.68 and 24,960 is: 37,442.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,624 : 135,943.68 = 24,960 : x
  2. Step 2: Convert to fraction form
    90,624/135,943.68 = 24,960/x
  3. Step 3: Cross multiply
    90,624x = 135,943.68 × 24,960
  4. Step 4: Simplify right side
    90,624x = 3,393,154,252.80
  5. Step 5: Solve for x
    x = 3,393,154,252.80/90,624
  6. Step 6: Final answer
    x = 37,442.12

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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.