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Finding the Fourth Proportional to 115,859.47, 159,872.85 and 64,865.11

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Solution

The fourth proportional to 115,859.47, 159,872.85 and 64,865.11 is: 89,506.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,859.47 : 159,872.85 = 64,865.11 : x
  2. Step 2: Convert to fraction form
    115,859.47/159,872.85 = 64,865.11/x
  3. Step 3: Cross multiply
    115,859.47x = 159,872.85 × 64,865.11
  4. Step 4: Simplify right side
    115,859.47x = 10,370,170,001.26
  5. Step 5: Solve for x
    x = 10,370,170,001.26/115,859.47
  6. Step 6: Final answer
    x = 89,506.45

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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.