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Finding the Fourth Proportional to 229,503, 316,743.84 and 128,901

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Solution

The fourth proportional to 229,503, 316,743.84 and 128,901 is: 177,900.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,503 : 316,743.84 = 128,901 : x
  2. Step 2: Convert to fraction form
    229,503/316,743.84 = 128,901/x
  3. Step 3: Cross multiply
    229,503x = 316,743.84 × 128,901
  4. Step 4: Simplify right side
    229,503x = 40,828,597,719.84
  5. Step 5: Solve for x
    x = 40,828,597,719.84/229,503
  6. Step 6: Final answer
    x = 177,900.06

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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.