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Finding the Fourth Proportional to 90,315, 135,472.50 and 24,651

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Solution

The fourth proportional to 90,315, 135,472.50 and 24,651 is: 36,976.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,315 : 135,472.50 = 24,651 : x
  2. Step 2: Convert to fraction form
    90,315/135,472.50 = 24,651/x
  3. Step 3: Cross multiply
    90,315x = 135,472.50 × 24,651
  4. Step 4: Simplify right side
    90,315x = 3,339,532,597.50
  5. Step 5: Solve for x
    x = 3,339,532,597.50/90,315
  6. Step 6: Final answer
    x = 36,976.50

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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.