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Finding the Fourth Proportional to 121,562, 182,429.40 and 47,690

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Solution

The fourth proportional to 121,562, 182,429.40 and 47,690 is: 71,568.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,562 : 182,429.40 = 47,690 : x
  2. Step 2: Convert to fraction form
    121,562/182,429.40 = 47,690/x
  3. Step 3: Cross multiply
    121,562x = 182,429.40 × 47,690
  4. Step 4: Simplify right side
    121,562x = 8,700,058,086
  5. Step 5: Solve for x
    x = 8,700,058,086/121,562
  6. Step 6: Final answer
    x = 71,568.90

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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.