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Finding the Fourth Proportional to 86,294.94, 129,448.02 and 27,132.90

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Solution

The fourth proportional to 86,294.94, 129,448.02 and 27,132.90 is: 40,701.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,294.94 : 129,448.02 = 27,132.90 : x
  2. Step 2: Convert to fraction form
    86,294.94/129,448.02 = 27,132.90/x
  3. Step 3: Cross multiply
    86,294.94x = 129,448.02 × 27,132.90
  4. Step 4: Simplify right side
    86,294.94x = 3,512,300,181.86
  5. Step 5: Solve for x
    x = 3,512,300,181.86/86,294.94
  6. Step 6: Final answer
    x = 40,701.11

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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.