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Finding the Fourth Proportional to 98,769, 136,301.22 and 54,057

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Solution

The fourth proportional to 98,769, 136,301.22 and 54,057 is: 74,598.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,769 : 136,301.22 = 54,057 : x
  2. Step 2: Convert to fraction form
    98,769/136,301.22 = 54,057/x
  3. Step 3: Cross multiply
    98,769x = 136,301.22 × 54,057
  4. Step 4: Simplify right side
    98,769x = 7,368,035,049.54
  5. Step 5: Solve for x
    x = 7,368,035,049.54/98,769
  6. Step 6: Final answer
    x = 74,598.66

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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.