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Finding the Fourth Proportional to 86,401.76, 119,239.92 and 65,143.52

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Solution

The fourth proportional to 86,401.76, 119,239.92 and 65,143.52 is: 89,902.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,401.76 : 119,239.92 = 65,143.52 : x
  2. Step 2: Convert to fraction form
    86,401.76/119,239.92 = 65,143.52/x
  3. Step 3: Cross multiply
    86,401.76x = 119,239.92 × 65,143.52
  4. Step 4: Simplify right side
    86,401.76x = 7,767,708,113.32
  5. Step 5: Solve for x
    x = 7,767,708,113.32/86,401.76
  6. Step 6: Final answer
    x = 89,902.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.