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Finding the Fourth Proportional to 129,662.31, 178,862.44 and 81,335.07

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Solution

The fourth proportional to 129,662.31, 178,862.44 and 81,335.07 is: 112,197.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,662.31 : 178,862.44 = 81,335.07 : x
  2. Step 2: Convert to fraction form
    129,662.31/178,862.44 = 81,335.07/x
  3. Step 3: Cross multiply
    129,662.31x = 178,862.44 × 81,335.07
  4. Step 4: Simplify right side
    129,662.31x = 14,547,789,077.77
  5. Step 5: Solve for x
    x = 14,547,789,077.77/129,662.31
  6. Step 6: Final answer
    x = 112,197.52

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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.