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Finding the Fourth Proportional to 86,684, 130,074.60 and 86,023.04

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Solution

The fourth proportional to 86,684, 130,074.60 and 86,023.04 is: 129,082.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,684 : 130,074.60 = 86,023.04 : x
  2. Step 2: Convert to fraction form
    86,684/130,074.60 = 86,023.04/x
  3. Step 3: Cross multiply
    86,684x = 130,074.60 × 86,023.04
  4. Step 4: Simplify right side
    86,684x = 11,189,412,518.78
  5. Step 5: Solve for x
    x = 11,189,412,518.78/86,684
  6. Step 6: Final answer
    x = 129,082.79

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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.