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Finding the Fourth Proportional to 86,275.50, 129,487.98 and 86,076.02

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Solution

The fourth proportional to 86,275.50, 129,487.98 and 86,076.02 is: 129,188.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,275.50 : 129,487.98 = 86,076.02 : x
  2. Step 2: Convert to fraction form
    86,275.50/129,487.98 = 86,076.02/x
  3. Step 3: Cross multiply
    86,275.50x = 129,487.98 × 86,076.02
  4. Step 4: Simplify right side
    86,275.50x = 11,145,809,956.24
  5. Step 5: Solve for x
    x = 11,145,809,956.24/86,275.50
  6. Step 6: Final answer
    x = 129,188.59

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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.