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Finding the Fourth Proportional to 78,595.39, 117,914.82 and 26,041.78

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Solution

The fourth proportional to 78,595.39, 117,914.82 and 26,041.78 is: 39,069.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,595.39 : 117,914.82 = 26,041.78 : x
  2. Step 2: Convert to fraction form
    78,595.39/117,914.82 = 26,041.78/x
  3. Step 3: Cross multiply
    78,595.39x = 117,914.82 × 26,041.78
  4. Step 4: Simplify right side
    78,595.39x = 3,070,711,801.18
  5. Step 5: Solve for x
    x = 3,070,711,801.18/78,595.39
  6. Step 6: Final answer
    x = 39,069.87

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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.