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Finding the Fourth Proportional to 141,409.71, 195,143.13 and 77,746.14

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Solution

The fourth proportional to 141,409.71, 195,143.13 and 77,746.14 is: 107,288.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,409.71 : 195,143.13 = 77,746.14 : x
  2. Step 2: Convert to fraction form
    141,409.71/195,143.13 = 77,746.14/x
  3. Step 3: Cross multiply
    141,409.71x = 195,143.13 × 77,746.14
  4. Step 4: Simplify right side
    141,409.71x = 15,171,625,105.02
  5. Step 5: Solve for x
    x = 15,171,625,105.02/141,409.71
  6. Step 6: Final answer
    x = 107,288.43

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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.