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Finding the Fourth Proportional to 227,381.04, 313,781.56 and 125,416

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Solution

The fourth proportional to 227,381.04, 313,781.56 and 125,416 is: 173,071.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,381.04 : 313,781.56 = 125,416 : x
  2. Step 2: Convert to fraction form
    227,381.04/313,781.56 = 125,416/x
  3. Step 3: Cross multiply
    227,381.04x = 313,781.56 × 125,416
  4. Step 4: Simplify right side
    227,381.04x = 39,353,228,128.96
  5. Step 5: Solve for x
    x = 39,353,228,128.96/227,381.04
  6. Step 6: Final answer
    x = 173,071.72

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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.