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Finding the Fourth Proportional to 115,294.50, 171,795.54 and 102,717.87

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Solution

The fourth proportional to 115,294.50, 171,795.54 and 102,717.87 is: 153,055.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,294.50 : 171,795.54 = 102,717.87 : x
  2. Step 2: Convert to fraction form
    115,294.50/171,795.54 = 102,717.87/x
  3. Step 3: Cross multiply
    115,294.50x = 171,795.54 × 102,717.87
  4. Step 4: Simplify right side
    115,294.50x = 17,646,471,944.30
  5. Step 5: Solve for x
    x = 17,646,471,944.30/115,294.50
  6. Step 6: Final answer
    x = 153,055.63

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.