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Finding the Fourth Proportional to 160,691.85, 221,478.03 and 106,880.72

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Solution

The fourth proportional to 160,691.85, 221,478.03 and 106,880.72 is: 147,311.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,691.85 : 221,478.03 = 106,880.72 : x
  2. Step 2: Convert to fraction form
    160,691.85/221,478.03 = 106,880.72/x
  3. Step 3: Cross multiply
    160,691.85x = 221,478.03 × 106,880.72
  4. Step 4: Simplify right side
    160,691.85x = 23,671,730,203.19
  5. Step 5: Solve for x
    x = 23,671,730,203.19/160,691.85
  6. Step 6: Final answer
    x = 147,311.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.