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Finding the Fourth Proportional to 228,894.71, 315,873.14 and 126,920.12

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Solution

The fourth proportional to 228,894.71, 315,873.14 and 126,920.12 is: 175,148.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,894.71 : 315,873.14 = 126,920.12 : x
  2. Step 2: Convert to fraction form
    228,894.71/315,873.14 = 126,920.12/x
  3. Step 3: Cross multiply
    228,894.71x = 315,873.14 × 126,920.12
  4. Step 4: Simplify right side
    228,894.71x = 40,090,654,619.61
  5. Step 5: Solve for x
    x = 40,090,654,619.61/228,894.71
  6. Step 6: Final answer
    x = 175,148.89

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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.