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Finding the Fourth Proportional to 86,682, 130,071.60 and 86,021.04

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Solution

The fourth proportional to 86,682, 130,071.60 and 86,021.04 is: 129,079.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,682 : 130,071.60 = 86,021.04 : x
  2. Step 2: Convert to fraction form
    86,682/130,071.60 = 86,021.04/x
  3. Step 3: Cross multiply
    86,682x = 130,071.60 × 86,021.04
  4. Step 4: Simplify right side
    86,682x = 11,188,894,306.46
  5. Step 5: Solve for x
    x = 11,188,894,306.46/86,682
  6. Step 6: Final answer
    x = 129,079.79

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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.