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Finding the Fourth Proportional to 115,862.42, 159,876.10 and 64,871.16

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Solution

The fourth proportional to 115,862.42, 159,876.10 and 64,871.16 is: 89,514.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,862.42 : 159,876.10 = 64,871.16 : x
  2. Step 2: Convert to fraction form
    115,862.42/159,876.10 = 64,871.16/x
  3. Step 3: Cross multiply
    115,862.42x = 159,876.10 × 64,871.16
  4. Step 4: Simplify right side
    115,862.42x = 10,371,348,063.28
  5. Step 5: Solve for x
    x = 10,371,348,063.28/115,862.42
  6. Step 6: Final answer
    x = 89,514.34

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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.