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Finding the Fourth Proportional to 98,709.90, 148,055.67 and 27,638.97

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Solution

The fourth proportional to 98,709.90, 148,055.67 and 27,638.97 is: 41,455.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,709.90 : 148,055.67 = 27,638.97 : x
  2. Step 2: Convert to fraction form
    98,709.90/148,055.67 = 27,638.97/x
  3. Step 3: Cross multiply
    98,709.90x = 148,055.67 × 27,638.97
  4. Step 4: Simplify right side
    98,709.90x = 4,092,106,221.46
  5. Step 5: Solve for x
    x = 4,092,106,221.46/98,709.90
  6. Step 6: Final answer
    x = 41,455.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.