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Finding the Fourth Proportional to 73,494.32, 110,242.76 and 20,905.20

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Solution

The fourth proportional to 73,494.32, 110,242.76 and 20,905.20 is: 31,358.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,494.32 : 110,242.76 = 20,905.20 : x
  2. Step 2: Convert to fraction form
    73,494.32/110,242.76 = 20,905.20/x
  3. Step 3: Cross multiply
    73,494.32x = 110,242.76 × 20,905.20
  4. Step 4: Simplify right side
    73,494.32x = 2,304,646,841.83
  5. Step 5: Solve for x
    x = 2,304,646,841.83/73,494.32
  6. Step 6: Final answer
    x = 31,358.16

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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.