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Finding the Fourth Proportional to 140,862.86, 194,391 and 77,199.32

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Solution

The fourth proportional to 140,862.86, 194,391 and 77,199.32 is: 106,535.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,862.86 : 194,391 = 77,199.32 : x
  2. Step 2: Convert to fraction form
    140,862.86/194,391 = 77,199.32/x
  3. Step 3: Cross multiply
    140,862.86x = 194,391 × 77,199.32
  4. Step 4: Simplify right side
    140,862.86x = 15,006,853,014.12
  5. Step 5: Solve for x
    x = 15,006,853,014.12/140,862.86
  6. Step 6: Final answer
    x = 106,535.20

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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.