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Finding the Fourth Proportional to 65,172.39, 89,978.53 and 50,034.91

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Solution

The fourth proportional to 65,172.39, 89,978.53 and 50,034.91 is: 69,079.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,172.39 : 89,978.53 = 50,034.91 : x
  2. Step 2: Convert to fraction form
    65,172.39/89,978.53 = 50,034.91/x
  3. Step 3: Cross multiply
    65,172.39x = 89,978.53 × 50,034.91
  4. Step 4: Simplify right side
    65,172.39x = 4,502,067,650.48
  5. Step 5: Solve for x
    x = 4,502,067,650.48/65,172.39
  6. Step 6: Final answer
    x = 69,079.37

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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.