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Finding the Fourth Proportional to 142,141.20, 213,211.08 and 133,480.08

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Solution

The fourth proportional to 142,141.20, 213,211.08 and 133,480.08 is: 200,219.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,141.20 : 213,211.08 = 133,480.08 : x
  2. Step 2: Convert to fraction form
    142,141.20/213,211.08 = 133,480.08/x
  3. Step 3: Cross multiply
    142,141.20x = 213,211.08 × 133,480.08
  4. Step 4: Simplify right side
    142,141.20x = 28,459,432,015.29
  5. Step 5: Solve for x
    x = 28,459,432,015.29/142,141.20
  6. Step 6: Final answer
    x = 200,219.44

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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.