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Finding the Fourth Proportional to 100,223.46, 138,303.02 and 54,899.10

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Solution

The fourth proportional to 100,223.46, 138,303.02 and 54,899.10 is: 75,757.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,223.46 : 138,303.02 = 54,899.10 : x
  2. Step 2: Convert to fraction form
    100,223.46/138,303.02 = 54,899.10/x
  3. Step 3: Cross multiply
    100,223.46x = 138,303.02 × 54,899.10
  4. Step 4: Simplify right side
    100,223.46x = 7,592,711,325.28
  5. Step 5: Solve for x
    x = 7,592,711,325.28/100,223.46
  6. Step 6: Final answer
    x = 75,757.82

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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.