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Finding the Fourth Proportional to 84,101.76, 126,140.46 and 27,168.06

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Solution

The fourth proportional to 84,101.76, 126,140.46 and 27,168.06 is: 40,748.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,101.76 : 126,140.46 = 27,168.06 : x
  2. Step 2: Convert to fraction form
    84,101.76/126,140.46 = 27,168.06/x
  3. Step 3: Cross multiply
    84,101.76x = 126,140.46 × 27,168.06
  4. Step 4: Simplify right side
    84,101.76x = 3,426,991,585.71
  5. Step 5: Solve for x
    x = 3,426,991,585.71/84,101.76
  6. Step 6: Final answer
    x = 40,748.16

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1.5x scale

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.