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Finding the Fourth Proportional to 90,306, 135,459 and 24,642

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Solution

The fourth proportional to 90,306, 135,459 and 24,642 is: 36,963

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,306 : 135,459 = 24,642 : x
  2. Step 2: Convert to fraction form
    90,306/135,459 = 24,642/x
  3. Step 3: Cross multiply
    90,306x = 135,459 × 24,642
  4. Step 4: Simplify right side
    90,306x = 3,337,980,678
  5. Step 5: Solve for x
    x = 3,337,980,678/90,306
  6. Step 6: Final answer
    x = 36,963

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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.