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Finding the Fourth Proportional to 160,666, 221,626.74 and 100,207.60

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Solution

The fourth proportional to 160,666, 221,626.74 and 100,207.60 is: 138,228.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,666 : 221,626.74 = 100,207.60 : x
  2. Step 2: Convert to fraction form
    160,666/221,626.74 = 100,207.60/x
  3. Step 3: Cross multiply
    160,666x = 221,626.74 × 100,207.60
  4. Step 4: Simplify right side
    160,666x = 22,208,683,711.22
  5. Step 5: Solve for x
    x = 22,208,683,711.22/160,666
  6. Step 6: Final answer
    x = 138,228.90

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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.