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Finding the Fourth Proportional to 229,084.52, 316,152.42 and 128,489

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Solution

The fourth proportional to 229,084.52, 316,152.42 and 128,489 is: 177,323.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,084.52 : 316,152.42 = 128,489 : x
  2. Step 2: Convert to fraction form
    229,084.52/316,152.42 = 128,489/x
  3. Step 3: Cross multiply
    229,084.52x = 316,152.42 × 128,489
  4. Step 4: Simplify right side
    229,084.52x = 40,622,108,293.38
  5. Step 5: Solve for x
    x = 40,622,108,293.38/229,084.52
  6. Step 6: Final answer
    x = 177,323.67

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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.