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Finding the Fourth Proportional to 160,844.96, 221,820.72 and 100,421.12

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Solution

The fourth proportional to 160,844.96, 221,820.72 and 100,421.12 is: 138,490.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,844.96 : 221,820.72 = 100,421.12 : x
  2. Step 2: Convert to fraction form
    160,844.96/221,820.72 = 100,421.12/x
  3. Step 3: Cross multiply
    160,844.96x = 221,820.72 × 100,421.12
  4. Step 4: Simplify right side
    160,844.96x = 22,275,485,141.61
  5. Step 5: Solve for x
    x = 22,275,485,141.61/160,844.96
  6. Step 6: Final answer
    x = 138,490.41

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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.