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Finding the Fourth Proportional to 153,428.70, 230,143.05 and 48,279.90

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Solution

The fourth proportional to 153,428.70, 230,143.05 and 48,279.90 is: 72,419.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,428.70 : 230,143.05 = 48,279.90 : x
  2. Step 2: Convert to fraction form
    153,428.70/230,143.05 = 48,279.90/x
  3. Step 3: Cross multiply
    153,428.70x = 230,143.05 × 48,279.90
  4. Step 4: Simplify right side
    153,428.70x = 11,111,283,439.70
  5. Step 5: Solve for x
    x = 11,111,283,439.70/153,428.70
  6. Step 6: Final answer
    x = 72,419.85

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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.