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Finding the Fourth Proportional to 228,084, 314,765.64 and 127,482

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Solution

The fourth proportional to 228,084, 314,765.64 and 127,482 is: 175,930.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,084 : 314,765.64 = 127,482 : x
  2. Step 2: Convert to fraction form
    228,084/314,765.64 = 127,482/x
  3. Step 3: Cross multiply
    228,084x = 314,765.64 × 127,482
  4. Step 4: Simplify right side
    228,084x = 40,126,953,318.48
  5. Step 5: Solve for x
    x = 40,126,953,318.48/228,084
  6. Step 6: Final answer
    x = 175,930.59

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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.