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Finding the Fourth Proportional to 141,308.10, 195,005.12 and 77,650

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Solution

The fourth proportional to 141,308.10, 195,005.12 and 77,650 is: 107,156.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,308.10 : 195,005.12 = 77,650 : x
  2. Step 2: Convert to fraction form
    141,308.10/195,005.12 = 77,650/x
  3. Step 3: Cross multiply
    141,308.10x = 195,005.12 × 77,650
  4. Step 4: Simplify right side
    141,308.10x = 15,142,147,568
  5. Step 5: Solve for x
    x = 15,142,147,568/141,308.10
  6. Step 6: Final answer
    x = 107,156.97

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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.