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Finding the Fourth Proportional to 145,839, 201,257.96 and 78,771

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Solution

The fourth proportional to 145,839, 201,257.96 and 78,771 is: 108,704.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,839 : 201,257.96 = 78,771 : x
  2. Step 2: Convert to fraction form
    145,839/201,257.96 = 78,771/x
  3. Step 3: Cross multiply
    145,839x = 201,257.96 × 78,771
  4. Step 4: Simplify right side
    145,839x = 15,853,290,373.31
  5. Step 5: Solve for x
    x = 15,853,290,373.31/145,839
  6. Step 6: Final answer
    x = 108,704.05

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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.