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Finding the Fourth Proportional to 98,385.87, 135,767.70 and 55,943.49

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Solution

The fourth proportional to 98,385.87, 135,767.70 and 55,943.49 is: 77,199.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,385.87 : 135,767.70 = 55,943.49 : x
  2. Step 2: Convert to fraction form
    98,385.87/135,767.70 = 55,943.49/x
  3. Step 3: Cross multiply
    98,385.87x = 135,767.70 × 55,943.49
  4. Step 4: Simplify right side
    98,385.87x = 7,595,318,967.27
  5. Step 5: Solve for x
    x = 7,595,318,967.27/98,385.87
  6. Step 6: Final answer
    x = 77,199.29

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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.