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Finding the Fourth Proportional to 78,183.57, 107,892.90 and 42,373.20

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Solution

The fourth proportional to 78,183.57, 107,892.90 and 42,373.20 is: 58,474.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,183.57 : 107,892.90 = 42,373.20 : x
  2. Step 2: Convert to fraction form
    78,183.57/107,892.90 = 42,373.20/x
  3. Step 3: Cross multiply
    78,183.57x = 107,892.90 × 42,373.20
  4. Step 4: Simplify right side
    78,183.57x = 4,571,767,430.28
  5. Step 5: Solve for x
    x = 4,571,767,430.28/78,183.57
  6. Step 6: Final answer
    x = 58,474.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.