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Finding the Fourth Proportional to 178,772.16, 268,216.52 and 85,265.76

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Solution

The fourth proportional to 178,772.16, 268,216.52 and 85,265.76 is: 127,926.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,772.16 : 268,216.52 = 85,265.76 : x
  2. Step 2: Convert to fraction form
    178,772.16/268,216.52 = 85,265.76/x
  3. Step 3: Cross multiply
    178,772.16x = 268,216.52 × 85,265.76
  4. Step 4: Simplify right side
    178,772.16x = 22,869,685,422.36
  5. Step 5: Solve for x
    x = 22,869,685,422.36/178,772.16
  6. Step 6: Final answer
    x = 127,926.44

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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.