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Finding the Fourth Proportional to 90,754.64, 136,131.96 and 28,430

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Solution

The fourth proportional to 90,754.64, 136,131.96 and 28,430 is: 42,645

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,754.64 : 136,131.96 = 28,430 : x
  2. Step 2: Convert to fraction form
    90,754.64/136,131.96 = 28,430/x
  3. Step 3: Cross multiply
    90,754.64x = 136,131.96 × 28,430
  4. Step 4: Simplify right side
    90,754.64x = 3,870,231,622.80
  5. Step 5: Solve for x
    x = 3,870,231,622.80/90,754.64
  6. Step 6: Final answer
    x = 42,645

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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.