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Finding the Fourth Proportional to 145,535.40, 217,865.70 and 86,340.60

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Solution

The fourth proportional to 145,535.40, 217,865.70 and 86,340.60 is: 129,251.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,535.40 : 217,865.70 = 86,340.60 : x
  2. Step 2: Convert to fraction form
    145,535.40/217,865.70 = 86,340.60/x
  3. Step 3: Cross multiply
    145,535.40x = 217,865.70 × 86,340.60
  4. Step 4: Simplify right side
    145,535.40x = 18,810,655,257.42
  5. Step 5: Solve for x
    x = 18,810,655,257.42/145,535.40
  6. Step 6: Final answer
    x = 129,251.41

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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.