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Finding the Fourth Proportional to 178,865.80, 268,298.70 and 158,648.20

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Solution

The fourth proportional to 178,865.80, 268,298.70 and 158,648.20 is: 237,972.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,865.80 : 268,298.70 = 158,648.20 : x
  2. Step 2: Convert to fraction form
    178,865.80/268,298.70 = 158,648.20/x
  3. Step 3: Cross multiply
    178,865.80x = 268,298.70 × 158,648.20
  4. Step 4: Simplify right side
    178,865.80x = 42,565,105,817.34
  5. Step 5: Solve for x
    x = 42,565,105,817.34/178,865.80
  6. Step 6: Final answer
    x = 237,972.30

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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.