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Finding the Fourth Proportional to 160,251.84, 240,276 and 85,325.76

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Solution

The fourth proportional to 160,251.84, 240,276 and 85,325.76 is: 127,934.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,251.84 : 240,276 = 85,325.76 : x
  2. Step 2: Convert to fraction form
    160,251.84/240,276 = 85,325.76/x
  3. Step 3: Cross multiply
    160,251.84x = 240,276 × 85,325.76
  4. Step 4: Simplify right side
    160,251.84x = 20,501,732,309.76
  5. Step 5: Solve for x
    x = 20,501,732,309.76/160,251.84
  6. Step 6: Final answer
    x = 127,934.46

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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.