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Finding the Fourth Proportional to 90,792.96, 136,193.76 and 28,464

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Solution

The fourth proportional to 90,792.96, 136,193.76 and 28,464 is: 42,697.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,792.96 : 136,193.76 = 28,464 : x
  2. Step 2: Convert to fraction form
    90,792.96/136,193.76 = 28,464/x
  3. Step 3: Cross multiply
    90,792.96x = 136,193.76 × 28,464
  4. Step 4: Simplify right side
    90,792.96x = 3,876,619,184.64
  5. Step 5: Solve for x
    x = 3,876,619,184.64/90,792.96
  6. Step 6: Final answer
    x = 42,697.35

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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.