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Finding the Fourth Proportional to 90,685.86, 136,028.52 and 24,126

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Solution

The fourth proportional to 90,685.86, 136,028.52 and 24,126 is: 36,188.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,685.86 : 136,028.52 = 24,126 : x
  2. Step 2: Convert to fraction form
    90,685.86/136,028.52 = 24,126/x
  3. Step 3: Cross multiply
    90,685.86x = 136,028.52 × 24,126
  4. Step 4: Simplify right side
    90,685.86x = 3,281,824,073.52
  5. Step 5: Solve for x
    x = 3,281,824,073.52/90,685.86
  6. Step 6: Final answer
    x = 36,188.93

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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.