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Finding the Fourth Proportional to 74,761.86, 112,114.84 and 30,373.66

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Solution

The fourth proportional to 74,761.86, 112,114.84 and 30,373.66 is: 45,549.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,761.86 : 112,114.84 = 30,373.66 : x
  2. Step 2: Convert to fraction form
    74,761.86/112,114.84 = 30,373.66/x
  3. Step 3: Cross multiply
    74,761.86x = 112,114.84 × 30,373.66
  4. Step 4: Simplify right side
    74,761.86x = 3,405,338,031.11
  5. Step 5: Solve for x
    x = 3,405,338,031.11/74,761.86
  6. Step 6: Final answer
    x = 45,549.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.