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Finding the Fourth Proportional to 160,480.72, 221,426.76 and 103,150

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Solution

The fourth proportional to 160,480.72, 221,426.76 and 103,150 is: 142,323.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,480.72 : 221,426.76 = 103,150 : x
  2. Step 2: Convert to fraction form
    160,480.72/221,426.76 = 103,150/x
  3. Step 3: Cross multiply
    160,480.72x = 221,426.76 × 103,150
  4. Step 4: Simplify right side
    160,480.72x = 22,840,170,294
  5. Step 5: Solve for x
    x = 22,840,170,294/160,480.72
  6. Step 6: Final answer
    x = 142,323.45

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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.