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Finding the Fourth Proportional to 141,393.92, 195,116.10 and 77,719.48

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Solution

The fourth proportional to 141,393.92, 195,116.10 and 77,719.48 is: 107,248.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,393.92 : 195,116.10 = 77,719.48 : x
  2. Step 2: Convert to fraction form
    141,393.92/195,116.10 = 77,719.48/x
  3. Step 3: Cross multiply
    141,393.92x = 195,116.10 × 77,719.48
  4. Step 4: Simplify right side
    141,393.92x = 15,164,321,831.63
  5. Step 5: Solve for x
    x = 15,164,321,831.63/141,393.92
  6. Step 6: Final answer
    x = 107,248.75

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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.