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Finding the Fourth Proportional to 178,951.30, 268,230.12 and 73,712.86

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Solution

The fourth proportional to 178,951.30, 268,230.12 and 73,712.86 is: 110,488.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,951.30 : 268,230.12 = 73,712.86 : x
  2. Step 2: Convert to fraction form
    178,951.30/268,230.12 = 73,712.86/x
  3. Step 3: Cross multiply
    178,951.30x = 268,230.12 × 73,712.86
  4. Step 4: Simplify right side
    178,951.30x = 19,772,009,283.34
  5. Step 5: Solve for x
    x = 19,772,009,283.34/178,951.30
  6. Step 6: Final answer
    x = 110,488.21

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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.