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Finding the Fourth Proportional to 145,825.70, 218,738.55 and 52,319.30

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Solution

The fourth proportional to 145,825.70, 218,738.55 and 52,319.30 is: 78,478.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,825.70 : 218,738.55 = 52,319.30 : x
  2. Step 2: Convert to fraction form
    145,825.70/218,738.55 = 52,319.30/x
  3. Step 3: Cross multiply
    145,825.70x = 218,738.55 × 52,319.30
  4. Step 4: Simplify right side
    145,825.70x = 11,444,247,819.02
  5. Step 5: Solve for x
    x = 11,444,247,819.02/145,825.70
  6. Step 6: Final answer
    x = 78,478.95

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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.