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Finding the Fourth Proportional to 229,965.84, 317,352.78 and 129,363.84

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Solution

The fourth proportional to 229,965.84, 317,352.78 and 129,363.84 is: 178,522.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,965.84 : 317,352.78 = 129,363.84 : x
  2. Step 2: Convert to fraction form
    229,965.84/317,352.78 = 129,363.84/x
  3. Step 3: Cross multiply
    229,965.84x = 317,352.78 × 129,363.84
  4. Step 4: Simplify right side
    229,965.84x = 41,053,974,255.48
  5. Step 5: Solve for x
    x = 41,053,974,255.48/229,965.84
  6. Step 6: Final answer
    x = 178,522.05

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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.