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Finding the Fourth Proportional to 115,321, 159,006.66 and 81,335.08

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Solution

The fourth proportional to 115,321, 159,006.66 and 81,335.08 is: 112,146.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,321 : 159,006.66 = 81,335.08 : x
  2. Step 2: Convert to fraction form
    115,321/159,006.66 = 81,335.08/x
  3. Step 3: Cross multiply
    115,321x = 159,006.66 × 81,335.08
  4. Step 4: Simplify right side
    115,321x = 12,932,819,411.63
  5. Step 5: Solve for x
    x = 12,932,819,411.63/115,321
  6. Step 6: Final answer
    x = 112,146.26

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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.