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Finding the Fourth Proportional to 229,176, 316,263.96 and 128,574

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Solution

The fourth proportional to 229,176, 316,263.96 and 128,574 is: 177,432.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,176 : 316,263.96 = 128,574 : x
  2. Step 2: Convert to fraction form
    229,176/316,263.96 = 128,574/x
  3. Step 3: Cross multiply
    229,176x = 316,263.96 × 128,574
  4. Step 4: Simplify right side
    229,176x = 40,663,322,393.04
  5. Step 5: Solve for x
    x = 40,663,322,393.04/229,176
  6. Step 6: Final answer
    x = 177,432.73

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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.