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Finding the Fourth Proportional to 67,963.19, 101,978.19 and 30,549.69

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Solution

The fourth proportional to 67,963.19, 101,978.19 and 30,549.69 is: 45,839.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,963.19 : 101,978.19 = 30,549.69 : x
  2. Step 2: Convert to fraction form
    67,963.19/101,978.19 = 30,549.69/x
  3. Step 3: Cross multiply
    67,963.19x = 101,978.19 × 30,549.69
  4. Step 4: Simplify right side
    67,963.19x = 3,115,402,091.26
  5. Step 5: Solve for x
    x = 3,115,402,091.26/67,963.19
  6. Step 6: Final answer
    x = 45,839.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.