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Finding the Fourth Proportional to 47,079.80, 65,012.32 and 35,122.38

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Solution

The fourth proportional to 47,079.80, 65,012.32 and 35,122.38 is: 48,500.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,079.80 : 65,012.32 = 35,122.38 : x
  2. Step 2: Convert to fraction form
    47,079.80/65,012.32 = 35,122.38/x
  3. Step 3: Cross multiply
    47,079.80x = 65,012.32 × 35,122.38
  4. Step 4: Simplify right side
    47,079.80x = 2,283,387,407.72
  5. Step 5: Solve for x
    x = 2,283,387,407.72/47,079.80
  6. Step 6: Final answer
    x = 48,500.36

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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.