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Finding the Fourth Proportional to 142,454.13, 213,692.43 and 47,684.87

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Solution

The fourth proportional to 142,454.13, 213,692.43 and 47,684.87 is: 71,531.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,454.13 : 213,692.43 = 47,684.87 : x
  2. Step 2: Convert to fraction form
    142,454.13/213,692.43 = 47,684.87/x
  3. Step 3: Cross multiply
    142,454.13x = 213,692.43 × 47,684.87
  4. Step 4: Simplify right side
    142,454.13x = 10,189,894,676.07
  5. Step 5: Solve for x
    x = 10,189,894,676.07/142,454.13
  6. Step 6: Final answer
    x = 71,531.06

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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.