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Finding the Fourth Proportional to 78,821.50, 108,773.28 and 43,011.40

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Solution

The fourth proportional to 78,821.50, 108,773.28 and 43,011.40 is: 59,355.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,821.50 : 108,773.28 = 43,011.40 : x
  2. Step 2: Convert to fraction form
    78,821.50/108,773.28 = 43,011.40/x
  3. Step 3: Cross multiply
    78,821.50x = 108,773.28 × 43,011.40
  4. Step 4: Simplify right side
    78,821.50x = 4,678,491,055.39
  5. Step 5: Solve for x
    x = 4,678,491,055.39/78,821.50
  6. Step 6: Final answer
    x = 59,355.52

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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.