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Finding the Fourth Proportional to 113,291.27, 156,324.44 and 65,549.07

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Solution

The fourth proportional to 113,291.27, 156,324.44 and 65,549.07 is: 90,447.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,291.27 : 156,324.44 = 65,549.07 : x
  2. Step 2: Convert to fraction form
    113,291.27/156,324.44 = 65,549.07/x
  3. Step 3: Cross multiply
    113,291.27x = 156,324.44 × 65,549.07
  4. Step 4: Simplify right side
    113,291.27x = 10,246,921,332.53
  5. Step 5: Solve for x
    x = 10,246,921,332.53/113,291.27
  6. Step 6: Final answer
    x = 90,447.58

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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.