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Finding the Fourth Proportional to 160,811.67, 221,774.88 and 100,387.90

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Solution

The fourth proportional to 160,811.67, 221,774.88 and 100,387.90 is: 138,444.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,811.67 : 221,774.88 = 100,387.90 : x
  2. Step 2: Convert to fraction form
    160,811.67/221,774.88 = 100,387.90/x
  3. Step 3: Cross multiply
    160,811.67x = 221,774.88 × 100,387.90
  4. Step 4: Simplify right side
    160,811.67x = 22,263,514,475.95
  5. Step 5: Solve for x
    x = 22,263,514,475.95/160,811.67
  6. Step 6: Final answer
    x = 138,444.64

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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.