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Finding the Fourth Proportional to 90,762, 136,143 and 28,432.50

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Solution

The fourth proportional to 90,762, 136,143 and 28,432.50 is: 42,648.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,762 : 136,143 = 28,432.50 : x
  2. Step 2: Convert to fraction form
    90,762/136,143 = 28,432.50/x
  3. Step 3: Cross multiply
    90,762x = 136,143 × 28,432.50
  4. Step 4: Simplify right side
    90,762x = 3,870,885,847.50
  5. Step 5: Solve for x
    x = 3,870,885,847.50/90,762
  6. Step 6: Final answer
    x = 42,648.75

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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.