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Finding the Fourth Proportional to 143,262.98, 197,691.01 and 78,728.82

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Solution

The fourth proportional to 143,262.98, 197,691.01 and 78,728.82 is: 108,639.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,262.98 : 197,691.01 = 78,728.82 : x
  2. Step 2: Convert to fraction form
    143,262.98/197,691.01 = 78,728.82/x
  3. Step 3: Cross multiply
    143,262.98x = 197,691.01 × 78,728.82
  4. Step 4: Simplify right side
    143,262.98x = 15,563,979,941.91
  5. Step 5: Solve for x
    x = 15,563,979,941.91/143,262.98
  6. Step 6: Final answer
    x = 108,639.23

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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.