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Finding the Fourth Proportional to 229,963.88, 317,355.01 and 129,361.88

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Solution

The fourth proportional to 229,963.88, 317,355.01 and 129,361.88 is: 178,522.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,963.88 : 317,355.01 = 129,361.88 : x
  2. Step 2: Convert to fraction form
    229,963.88/317,355.01 = 129,361.88/x
  3. Step 3: Cross multiply
    229,963.88x = 317,355.01 × 129,361.88
  4. Step 4: Simplify right side
    229,963.88x = 41,053,638,810.84
  5. Step 5: Solve for x
    x = 41,053,638,810.84/229,963.88
  6. Step 6: Final answer
    x = 178,522.12

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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.