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Finding the Fourth Proportional to 76,865.80, 115,298.70 and 47,187.40

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Solution

The fourth proportional to 76,865.80, 115,298.70 and 47,187.40 is: 70,781.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,865.80 : 115,298.70 = 47,187.40 : x
  2. Step 2: Convert to fraction form
    76,865.80/115,298.70 = 47,187.40/x
  3. Step 3: Cross multiply
    76,865.80x = 115,298.70 × 47,187.40
  4. Step 4: Simplify right side
    76,865.80x = 5,440,645,876.38
  5. Step 5: Solve for x
    x = 5,440,645,876.38/76,865.80
  6. Step 6: Final answer
    x = 70,781.10

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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.