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Finding the Fourth Proportional to 160,290.97, 240,872.64 and 85,463.98

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Solution

The fourth proportional to 160,290.97, 240,872.64 and 85,463.98 is: 128,428.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,290.97 : 240,872.64 = 85,463.98 : x
  2. Step 2: Convert to fraction form
    160,290.97/240,872.64 = 85,463.98/x
  3. Step 3: Cross multiply
    160,290.97x = 240,872.64 × 85,463.98
  4. Step 4: Simplify right side
    160,290.97x = 20,585,933,564.84
  5. Step 5: Solve for x
    x = 20,585,933,564.84/160,290.97
  6. Step 6: Final answer
    x = 128,428.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.