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Finding the Fourth Proportional to 100,848.70, 151,256.85 and 30,711.70

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Solution

The fourth proportional to 100,848.70, 151,256.85 and 30,711.70 is: 46,062.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,848.70 : 151,256.85 = 30,711.70 : x
  2. Step 2: Convert to fraction form
    100,848.70/151,256.85 = 30,711.70/x
  3. Step 3: Cross multiply
    100,848.70x = 151,256.85 × 30,711.70
  4. Step 4: Simplify right side
    100,848.70x = 4,645,355,000.15
  5. Step 5: Solve for x
    x = 4,645,355,000.15/100,848.70
  6. Step 6: Final answer
    x = 46,062.62

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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.