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Finding the Fourth Proportional to 153,974.18, 230,967.74 and 75,154.70

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Solution

The fourth proportional to 153,974.18, 230,967.74 and 75,154.70 is: 112,735.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,974.18 : 230,967.74 = 75,154.70 : x
  2. Step 2: Convert to fraction form
    153,974.18/230,967.74 = 75,154.70/x
  3. Step 3: Cross multiply
    153,974.18x = 230,967.74 × 75,154.70
  4. Step 4: Simplify right side
    153,974.18x = 17,358,311,209.38
  5. Step 5: Solve for x
    x = 17,358,311,209.38/153,974.18
  6. Step 6: Final answer
    x = 112,735.21

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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.