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Finding the Fourth Proportional to 51,851.80, 77,691.30 and 48,741.40

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Solution

The fourth proportional to 51,851.80, 77,691.30 and 48,741.40 is: 73,030.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,851.80 : 77,691.30 = 48,741.40 : x
  2. Step 2: Convert to fraction form
    51,851.80/77,691.30 = 48,741.40/x
  3. Step 3: Cross multiply
    51,851.80x = 77,691.30 × 48,741.40
  4. Step 4: Simplify right side
    51,851.80x = 3,786,782,729.82
  5. Step 5: Solve for x
    x = 3,786,782,729.82/51,851.80
  6. Step 6: Final answer
    x = 73,030.88

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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.