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Finding the Fourth Proportional to 143,375.80, 197,855.35 and 77,963.20

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Solution

The fourth proportional to 143,375.80, 197,855.35 and 77,963.20 is: 107,587.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,375.80 : 197,855.35 = 77,963.20 : x
  2. Step 2: Convert to fraction form
    143,375.80/197,855.35 = 77,963.20/x
  3. Step 3: Cross multiply
    143,375.80x = 197,855.35 × 77,963.20
  4. Step 4: Simplify right side
    143,375.80x = 15,425,436,223.12
  5. Step 5: Solve for x
    x = 15,425,436,223.12/143,375.80
  6. Step 6: Final answer
    x = 107,587.45

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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.