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Finding the Fourth Proportional to 129,625.80, 178,966.17 and 105,809.10

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Solution

The fourth proportional to 129,625.80, 178,966.17 and 105,809.10 is: 146,083.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,625.80 : 178,966.17 = 105,809.10 : x
  2. Step 2: Convert to fraction form
    129,625.80/178,966.17 = 105,809.10/x
  3. Step 3: Cross multiply
    129,625.80x = 178,966.17 × 105,809.10
  4. Step 4: Simplify right side
    129,625.80x = 18,936,249,378.15
  5. Step 5: Solve for x
    x = 18,936,249,378.15/129,625.80
  6. Step 6: Final answer
    x = 146,083.95

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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.