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Finding the Fourth Proportional to 98,840, 136,399.68 and 54,128

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Solution

The fourth proportional to 98,840, 136,399.68 and 54,128 is: 74,696.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,840 : 136,399.68 = 54,128 : x
  2. Step 2: Convert to fraction form
    98,840/136,399.68 = 54,128/x
  3. Step 3: Cross multiply
    98,840x = 136,399.68 × 54,128
  4. Step 4: Simplify right side
    98,840x = 7,383,041,879.04
  5. Step 5: Solve for x
    x = 7,383,041,879.04/98,840
  6. Step 6: Final answer
    x = 74,696.90

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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.