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Finding the Fourth Proportional to 160,005.19, 220,641.78 and 137,418.97

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Solution

The fourth proportional to 160,005.19, 220,641.78 and 137,418.97 is: 189,496.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,005.19 : 220,641.78 = 137,418.97 : x
  2. Step 2: Convert to fraction form
    160,005.19/220,641.78 = 137,418.97/x
  3. Step 3: Cross multiply
    160,005.19x = 220,641.78 × 137,418.97
  4. Step 4: Simplify right side
    160,005.19x = 30,320,366,146.57
  5. Step 5: Solve for x
    x = 30,320,366,146.57/160,005.19
  6. Step 6: Final answer
    x = 189,496.14

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1.5x scale

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.