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Finding the Fourth Proportional to 160,804.42, 221,923.72 and 89,207.50

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Solution

The fourth proportional to 160,804.42, 221,923.72 and 89,207.50 is: 123,113.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,804.42 : 221,923.72 = 89,207.50 : x
  2. Step 2: Convert to fraction form
    160,804.42/221,923.72 = 89,207.50/x
  3. Step 3: Cross multiply
    160,804.42x = 221,923.72 × 89,207.50
  4. Step 4: Simplify right side
    160,804.42x = 19,797,260,251.90
  5. Step 5: Solve for x
    x = 19,797,260,251.90/160,804.42
  6. Step 6: Final answer
    x = 123,113.91

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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.