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Finding the Fourth Proportional to 142,206.78, 213,310.17 and 42,364.40

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Solution

The fourth proportional to 142,206.78, 213,310.17 and 42,364.40 is: 63,546.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,206.78 : 213,310.17 = 42,364.40 : x
  2. Step 2: Convert to fraction form
    142,206.78/213,310.17 = 42,364.40/x
  3. Step 3: Cross multiply
    142,206.78x = 213,310.17 × 42,364.40
  4. Step 4: Simplify right side
    142,206.78x = 9,036,756,299.40
  5. Step 5: Solve for x
    x = 9,036,756,299.40/142,206.78
  6. Step 6: Final answer
    x = 63,546.59

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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.