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Finding the Fourth Proportional to 76,671.80, 115,013.10 and 43,407.80

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Solution

The fourth proportional to 76,671.80, 115,013.10 and 43,407.80 is: 65,114.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,671.80 : 115,013.10 = 43,407.80 : x
  2. Step 2: Convert to fraction form
    76,671.80/115,013.10 = 43,407.80/x
  3. Step 3: Cross multiply
    76,671.80x = 115,013.10 × 43,407.80
  4. Step 4: Simplify right side
    76,671.80x = 4,992,465,642.18
  5. Step 5: Solve for x
    x = 4,992,465,642.18/76,671.80
  6. Step 6: Final answer
    x = 65,114.76

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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.