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Finding the Fourth Proportional to 102,062.34, 140,846.78 and 56,122.78

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Solution

The fourth proportional to 102,062.34, 140,846.78 and 56,122.78 is: 77,449.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,062.34 : 140,846.78 = 56,122.78 : x
  2. Step 2: Convert to fraction form
    102,062.34/140,846.78 = 56,122.78/x
  3. Step 3: Cross multiply
    102,062.34x = 140,846.78 × 56,122.78
  4. Step 4: Simplify right side
    102,062.34x = 7,904,712,847.65
  5. Step 5: Solve for x
    x = 7,904,712,847.65/102,062.34
  6. Step 6: Final answer
    x = 77,449.85

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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.