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Finding the Fourth Proportional to 141,349, 195,059.42 and 77,685.43

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Solution

The fourth proportional to 141,349, 195,059.42 and 77,685.43 is: 107,204.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,349 : 195,059.42 = 77,685.43 : x
  2. Step 2: Convert to fraction form
    141,349/195,059.42 = 77,685.43/x
  3. Step 3: Cross multiply
    141,349x = 195,059.42 × 77,685.43
  4. Step 4: Simplify right side
    141,349x = 15,153,274,918.25
  5. Step 5: Solve for x
    x = 15,153,274,918.25/141,349
  6. Step 6: Final answer
    x = 107,204.68

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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.