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Finding the Fourth Proportional to 178,758.14, 268,133.10 and 89,987.80

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Solution

The fourth proportional to 178,758.14, 268,133.10 and 89,987.80 is: 134,979.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,758.14 : 268,133.10 = 89,987.80 : x
  2. Step 2: Convert to fraction form
    178,758.14/268,133.10 = 89,987.80/x
  3. Step 3: Cross multiply
    178,758.14x = 268,133.10 × 89,987.80
  4. Step 4: Simplify right side
    178,758.14x = 24,128,707,776.18
  5. Step 5: Solve for x
    x = 24,128,707,776.18/178,758.14
  6. Step 6: Final answer
    x = 134,979.63

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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.