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Finding the Fourth Proportional to 98,442.34, 147,686.90 and 31,882.41

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Solution

The fourth proportional to 98,442.34, 147,686.90 and 31,882.41 is: 47,831.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,442.34 : 147,686.90 = 31,882.41 : x
  2. Step 2: Convert to fraction form
    98,442.34/147,686.90 = 31,882.41/x
  3. Step 3: Cross multiply
    98,442.34x = 147,686.90 × 31,882.41
  4. Step 4: Simplify right side
    98,442.34x = 4,708,614,138.02
  5. Step 5: Solve for x
    x = 4,708,614,138.02/98,442.34
  6. Step 6: Final answer
    x = 47,831.19

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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.