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Finding the Fourth Proportional to 90,565.52, 135,671.56 and 59,306

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Solution

The fourth proportional to 90,565.52, 135,671.56 and 59,306 is: 88,843.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,565.52 : 135,671.56 = 59,306 : x
  2. Step 2: Convert to fraction form
    90,565.52/135,671.56 = 59,306/x
  3. Step 3: Cross multiply
    90,565.52x = 135,671.56 × 59,306
  4. Step 4: Simplify right side
    90,565.52x = 8,046,137,537.36
  5. Step 5: Solve for x
    x = 8,046,137,537.36/90,565.52
  6. Step 6: Final answer
    x = 88,843.28

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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.