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Finding the Fourth Proportional to 90,531.54, 135,798.72 and 34,356.81

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Solution

The fourth proportional to 90,531.54, 135,798.72 and 34,356.81 is: 51,535.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,531.54 : 135,798.72 = 34,356.81 : x
  2. Step 2: Convert to fraction form
    90,531.54/135,798.72 = 34,356.81/x
  3. Step 3: Cross multiply
    90,531.54x = 135,798.72 × 34,356.81
  4. Step 4: Simplify right side
    90,531.54x = 4,665,610,821.28
  5. Step 5: Solve for x
    x = 4,665,610,821.28/90,531.54
  6. Step 6: Final answer
    x = 51,535.75

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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.