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Finding the Fourth Proportional to 141,411.17, 195,142.43 and 77,748.48

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Solution

The fourth proportional to 141,411.17, 195,142.43 and 77,748.48 is: 107,290.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,411.17 : 195,142.43 = 77,748.48 : x
  2. Step 2: Convert to fraction form
    141,411.17/195,142.43 = 77,748.48/x
  3. Step 3: Cross multiply
    141,411.17x = 195,142.43 × 77,748.48
  4. Step 4: Simplify right side
    141,411.17x = 15,172,027,510.38
  5. Step 5: Solve for x
    x = 15,172,027,510.38/141,411.17
  6. Step 6: Final answer
    x = 107,290.16

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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.