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Finding the Fourth Proportional to 101,725.92, 152,130.50 and 77,717.54

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Solution

The fourth proportional to 101,725.92, 152,130.50 and 77,717.54 is: 116,226.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,725.92 : 152,130.50 = 77,717.54 : x
  2. Step 2: Convert to fraction form
    101,725.92/152,130.50 = 77,717.54/x
  3. Step 3: Cross multiply
    101,725.92x = 152,130.50 × 77,717.54
  4. Step 4: Simplify right side
    101,725.92x = 11,823,208,218.97
  5. Step 5: Solve for x
    x = 11,823,208,218.97/101,725.92
  6. Step 6: Final answer
    x = 116,226.11

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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.