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Finding the Fourth Proportional to 160,804.12, 221,922.96 and 89,207.20

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Solution

The fourth proportional to 160,804.12, 221,922.96 and 89,207.20 is: 123,113.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,804.12 : 221,922.96 = 89,207.20 : x
  2. Step 2: Convert to fraction form
    160,804.12/221,922.96 = 89,207.20/x
  3. Step 3: Cross multiply
    160,804.12x = 221,922.96 × 89,207.20
  4. Step 4: Simplify right side
    160,804.12x = 19,797,125,877.31
  5. Step 5: Solve for x
    x = 19,797,125,877.31/160,804.12
  6. Step 6: Final answer
    x = 123,113.30

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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.