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Finding the Fourth Proportional to 227,985.34, 341,985 and 78,223.57

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Solution

The fourth proportional to 227,985.34, 341,985 and 78,223.57 is: 117,337.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,985.34 : 341,985 = 78,223.57 : x
  2. Step 2: Convert to fraction form
    227,985.34/341,985 = 78,223.57/x
  3. Step 3: Cross multiply
    227,985.34x = 341,985 × 78,223.57
  4. Step 4: Simplify right side
    227,985.34x = 26,751,287,586.45
  5. Step 5: Solve for x
    x = 26,751,287,586.45/227,985.34
  6. Step 6: Final answer
    x = 117,337.75

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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.