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Finding the Fourth Proportional to 141,447.51, 195,192.14 and 77,781.51

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Solution

The fourth proportional to 141,447.51, 195,192.14 and 77,781.51 is: 107,335.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,447.51 : 195,192.14 = 77,781.51 : x
  2. Step 2: Convert to fraction form
    141,447.51/195,192.14 = 77,781.51/x
  3. Step 3: Cross multiply
    141,447.51x = 195,192.14 × 77,781.51
  4. Step 4: Simplify right side
    141,447.51x = 15,182,339,000.42
  5. Step 5: Solve for x
    x = 15,182,339,000.42/141,447.51
  6. Step 6: Final answer
    x = 107,335.50

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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.