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Finding the Fourth Proportional to 90,796.64, 136,194.96 and 28,472

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Solution

The fourth proportional to 90,796.64, 136,194.96 and 28,472 is: 42,708

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,796.64 : 136,194.96 = 28,472 : x
  2. Step 2: Convert to fraction form
    90,796.64/136,194.96 = 28,472/x
  3. Step 3: Cross multiply
    90,796.64x = 136,194.96 × 28,472
  4. Step 4: Simplify right side
    90,796.64x = 3,877,742,901.12
  5. Step 5: Solve for x
    x = 3,877,742,901.12/90,796.64
  6. Step 6: Final answer
    x = 42,708

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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.