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Finding the Fourth Proportional to 115,859.57, 159,849.05 and 64,864.80

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Solution

The fourth proportional to 115,859.57, 159,849.05 and 64,864.80 is: 89,492.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,859.57 : 159,849.05 = 64,864.80 : x
  2. Step 2: Convert to fraction form
    115,859.57/159,849.05 = 64,864.80/x
  3. Step 3: Cross multiply
    115,859.57x = 159,849.05 × 64,864.80
  4. Step 4: Simplify right side
    115,859.57x = 10,368,576,334.12
  5. Step 5: Solve for x
    x = 10,368,576,334.12/115,859.57
  6. Step 6: Final answer
    x = 89,492.62

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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.