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Finding the Fourth Proportional to 141,308.92, 195,011.10 and 77,649

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Solution

The fourth proportional to 141,308.92, 195,011.10 and 77,649 is: 107,158.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,308.92 : 195,011.10 = 77,649 : x
  2. Step 2: Convert to fraction form
    141,308.92/195,011.10 = 77,649/x
  3. Step 3: Cross multiply
    141,308.92x = 195,011.10 × 77,649
  4. Step 4: Simplify right side
    141,308.92x = 15,142,416,903.90
  5. Step 5: Solve for x
    x = 15,142,416,903.90/141,308.92
  6. Step 6: Final answer
    x = 107,158.25

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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.