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Finding the Fourth Proportional to 115,252, 159,047.76 and 64,952.80

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Solution

The fourth proportional to 115,252, 159,047.76 and 64,952.80 is: 89,634.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,252 : 159,047.76 = 64,952.80 : x
  2. Step 2: Convert to fraction form
    115,252/159,047.76 = 64,952.80/x
  3. Step 3: Cross multiply
    115,252x = 159,047.76 × 64,952.80
  4. Step 4: Simplify right side
    115,252x = 10,330,597,345.73
  5. Step 5: Solve for x
    x = 10,330,597,345.73/115,252
  6. Step 6: Final answer
    x = 89,634.86

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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.