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Finding the Fourth Proportional to 160,618.92, 221,758.08 and 103,284

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Solution

The fourth proportional to 160,618.92, 221,758.08 and 103,284 is: 142,598.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,618.92 : 221,758.08 = 103,284 : x
  2. Step 2: Convert to fraction form
    160,618.92/221,758.08 = 103,284/x
  3. Step 3: Cross multiply
    160,618.92x = 221,758.08 × 103,284
  4. Step 4: Simplify right side
    160,618.92x = 22,904,061,534.72
  5. Step 5: Solve for x
    x = 22,904,061,534.72/160,618.92
  6. Step 6: Final answer
    x = 142,598.78

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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.