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Finding the Fourth Proportional to 79,902.30, 110,218.65 and 51,211.76

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Solution

The fourth proportional to 79,902.30, 110,218.65 and 51,211.76 is: 70,642.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,902.30 : 110,218.65 = 51,211.76 : x
  2. Step 2: Convert to fraction form
    79,902.30/110,218.65 = 51,211.76/x
  3. Step 3: Cross multiply
    79,902.30x = 110,218.65 × 51,211.76
  4. Step 4: Simplify right side
    79,902.30x = 5,644,490,500.23
  5. Step 5: Solve for x
    x = 5,644,490,500.23/79,902.30
  6. Step 6: Final answer
    x = 70,642.40

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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.