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Finding the Fourth Proportional to 98,448, 135,861.12 and 53,738.88

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Solution

The fourth proportional to 98,448, 135,861.12 and 53,738.88 is: 74,161.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,448 : 135,861.12 = 53,738.88 : x
  2. Step 2: Convert to fraction form
    98,448/135,861.12 = 53,738.88/x
  3. Step 3: Cross multiply
    98,448x = 135,861.12 × 53,738.88
  4. Step 4: Simplify right side
    98,448x = 7,301,024,424.35
  5. Step 5: Solve for x
    x = 7,301,024,424.35/98,448
  6. Step 6: Final answer
    x = 74,161.23

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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.