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Finding the Fourth Proportional to 227,989.12, 341,988.48 and 78,228.64

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Solution

The fourth proportional to 227,989.12, 341,988.48 and 78,228.64 is: 117,344.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,989.12 : 341,988.48 = 78,228.64 : x
  2. Step 2: Convert to fraction form
    227,989.12/341,988.48 = 78,228.64/x
  3. Step 3: Cross multiply
    227,989.12x = 341,988.48 × 78,228.64
  4. Step 4: Simplify right side
    227,989.12x = 26,753,293,686.07
  5. Step 5: Solve for x
    x = 26,753,293,686.07/227,989.12
  6. Step 6: Final answer
    x = 117,344.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.