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Finding the Fourth Proportional to 141,456, 195,209.28 and 77,797.92

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Solution

The fourth proportional to 141,456, 195,209.28 and 77,797.92 is: 107,361.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,456 : 195,209.28 = 77,797.92 : x
  2. Step 2: Convert to fraction form
    141,456/195,209.28 = 77,797.92/x
  3. Step 3: Cross multiply
    141,456x = 195,209.28 × 77,797.92
  4. Step 4: Simplify right side
    141,456x = 15,186,875,948.70
  5. Step 5: Solve for x
    x = 15,186,875,948.70/141,456
  6. Step 6: Final answer
    x = 107,361.13

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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.