Home / 83,778.08-115,623.12-47,972

Finding the Fourth Proportional to 83,778.08, 115,623.12 and 47,972

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Solution

The fourth proportional to 83,778.08, 115,623.12 and 47,972 is: 66,206.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,778.08 : 115,623.12 = 47,972 : x
  2. Step 2: Convert to fraction form
    83,778.08/115,623.12 = 47,972/x
  3. Step 3: Cross multiply
    83,778.08x = 115,623.12 × 47,972
  4. Step 4: Simplify right side
    83,778.08x = 5,546,672,312.64
  5. Step 5: Solve for x
    x = 5,546,672,312.64/83,778.08
  6. Step 6: Final answer
    x = 66,206.73

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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.