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Finding the Fourth Proportional to 98,416.38, 135,809.60 and 55,974

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Solution

The fourth proportional to 98,416.38, 135,809.60 and 55,974 is: 77,241.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,416.38 : 135,809.60 = 55,974 : x
  2. Step 2: Convert to fraction form
    98,416.38/135,809.60 = 55,974/x
  3. Step 3: Cross multiply
    98,416.38x = 135,809.60 × 55,974
  4. Step 4: Simplify right side
    98,416.38x = 7,601,806,550.40
  5. Step 5: Solve for x
    x = 7,601,806,550.40/98,416.38
  6. Step 6: Final answer
    x = 77,241.27

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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.