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Finding the Fourth Proportional to 74,031, 102,162.78 and 40,497.72

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Solution

The fourth proportional to 74,031, 102,162.78 and 40,497.72 is: 55,886.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,031 : 102,162.78 = 40,497.72 : x
  2. Step 2: Convert to fraction form
    74,031/102,162.78 = 40,497.72/x
  3. Step 3: Cross multiply
    74,031x = 102,162.78 × 40,497.72
  4. Step 4: Simplify right side
    74,031x = 4,137,359,658.86
  5. Step 5: Solve for x
    x = 4,137,359,658.86/74,031
  6. Step 6: Final answer
    x = 55,886.85

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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.