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Finding the Fourth Proportional to 86,004.32, 129,056.32 and 36,080

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Solution

The fourth proportional to 86,004.32, 129,056.32 and 36,080 is: 54,140.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,004.32 : 129,056.32 = 36,080 : x
  2. Step 2: Convert to fraction form
    86,004.32/129,056.32 = 36,080/x
  3. Step 3: Cross multiply
    86,004.32x = 129,056.32 × 36,080
  4. Step 4: Simplify right side
    86,004.32x = 4,656,352,025.60
  5. Step 5: Solve for x
    x = 4,656,352,025.60/86,004.32
  6. Step 6: Final answer
    x = 54,140.91

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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.