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Finding the Fourth Proportional to 98,800, 136,344 and 54,088

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Solution

The fourth proportional to 98,800, 136,344 and 54,088 is: 74,641.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,800 : 136,344 = 54,088 : x
  2. Step 2: Convert to fraction form
    98,800/136,344 = 54,088/x
  3. Step 3: Cross multiply
    98,800x = 136,344 × 54,088
  4. Step 4: Simplify right side
    98,800x = 7,374,574,272
  5. Step 5: Solve for x
    x = 7,374,574,272/98,800
  6. Step 6: Final answer
    x = 74,641.44

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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.