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Finding the Fourth Proportional to 101,430.20, 152,112.90 and 42,251.60

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Solution

The fourth proportional to 101,430.20, 152,112.90 and 42,251.60 is: 63,363.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,430.20 : 152,112.90 = 42,251.60 : x
  2. Step 2: Convert to fraction form
    101,430.20/152,112.90 = 42,251.60/x
  3. Step 3: Cross multiply
    101,430.20x = 152,112.90 × 42,251.60
  4. Step 4: Simplify right side
    101,430.20x = 6,427,013,405.64
  5. Step 5: Solve for x
    x = 6,427,013,405.64/101,430.20
  6. Step 6: Final answer
    x = 63,363.90

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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.