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Finding the Fourth Proportional to 160,243.84, 240,264 and 85,317.76

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Solution

The fourth proportional to 160,243.84, 240,264 and 85,317.76 is: 127,922.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,243.84 : 240,264 = 85,317.76 : x
  2. Step 2: Convert to fraction form
    160,243.84/240,264 = 85,317.76/x
  3. Step 3: Cross multiply
    160,243.84x = 240,264 × 85,317.76
  4. Step 4: Simplify right side
    160,243.84x = 20,498,786,288.64
  5. Step 5: Solve for x
    x = 20,498,786,288.64/160,243.84
  6. Step 6: Final answer
    x = 127,922.46

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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.