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Finding the Fourth Proportional to 78,821.41, 108,775.13 and 43,012.93

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Solution

The fourth proportional to 78,821.41, 108,775.13 and 43,012.93 is: 59,358.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,821.41 : 108,775.13 = 43,012.93 : x
  2. Step 2: Convert to fraction form
    78,821.41/108,775.13 = 43,012.93/x
  3. Step 3: Cross multiply
    78,821.41x = 108,775.13 × 43,012.93
  4. Step 4: Simplify right side
    78,821.41x = 4,678,737,052.43
  5. Step 5: Solve for x
    x = 4,678,737,052.43/78,821.41
  6. Step 6: Final answer
    x = 59,358.71

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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.