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Finding the Fourth Proportional to 229,052.50, 316,121.64 and 128,450.50

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Solution

The fourth proportional to 229,052.50, 316,121.64 and 128,450.50 is: 177,278.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,052.50 : 316,121.64 = 128,450.50 : x
  2. Step 2: Convert to fraction form
    229,052.50/316,121.64 = 128,450.50/x
  3. Step 3: Cross multiply
    229,052.50x = 316,121.64 × 128,450.50
  4. Step 4: Simplify right side
    229,052.50x = 40,605,982,718.82
  5. Step 5: Solve for x
    x = 40,605,982,718.82/229,052.50
  6. Step 6: Final answer
    x = 177,278.06

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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.