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Finding the Fourth Proportional to 78,543.40, 117,815.10 and 73,359.40

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Solution

The fourth proportional to 78,543.40, 117,815.10 and 73,359.40 is: 110,039.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,543.40 : 117,815.10 = 73,359.40 : x
  2. Step 2: Convert to fraction form
    78,543.40/117,815.10 = 73,359.40/x
  3. Step 3: Cross multiply
    78,543.40x = 117,815.10 × 73,359.40
  4. Step 4: Simplify right side
    78,543.40x = 8,642,845,046.94
  5. Step 5: Solve for x
    x = 8,642,845,046.94/78,543.40
  6. Step 6: Final answer
    x = 110,039.10

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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.