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Finding the Fourth Proportional to 81,178.50, 112,026.80 and 47,187.65

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Solution

The fourth proportional to 81,178.50, 112,026.80 and 47,187.65 is: 65,119.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,178.50 : 112,026.80 = 47,187.65 : x
  2. Step 2: Convert to fraction form
    81,178.50/112,026.80 = 47,187.65/x
  3. Step 3: Cross multiply
    81,178.50x = 112,026.80 × 47,187.65
  4. Step 4: Simplify right side
    81,178.50x = 5,286,280,632.95
  5. Step 5: Solve for x
    x = 5,286,280,632.95/81,178.50
  6. Step 6: Final answer
    x = 65,119.22

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1.5x scale

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.