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Finding the Fourth Proportional to 142,244.94, 213,320.51 and 47,449

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Solution

The fourth proportional to 142,244.94, 213,320.51 and 47,449 is: 71,157.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,244.94 : 213,320.51 = 47,449 : x
  2. Step 2: Convert to fraction form
    142,244.94/213,320.51 = 47,449/x
  3. Step 3: Cross multiply
    142,244.94x = 213,320.51 × 47,449
  4. Step 4: Simplify right side
    142,244.94x = 10,121,844,641.75
  5. Step 5: Solve for x
    x = 10,121,844,641.75/142,244.94
  6. Step 6: Final answer
    x = 71,157.85

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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.