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Finding the Fourth Proportional to 86,025.60, 129,038.40 and 81,432.90

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Solution

The fourth proportional to 86,025.60, 129,038.40 and 81,432.90 is: 122,149.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,025.60 : 129,038.40 = 81,432.90 : x
  2. Step 2: Convert to fraction form
    86,025.60/129,038.40 = 81,432.90/x
  3. Step 3: Cross multiply
    86,025.60x = 129,038.40 × 81,432.90
  4. Step 4: Simplify right side
    86,025.60x = 10,507,971,123.36
  5. Step 5: Solve for x
    x = 10,507,971,123.36/86,025.60
  6. Step 6: Final answer
    x = 122,149.35

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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.