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Finding the Fourth Proportional to 228,230, 342,261.04 and 78,427.76

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Solution

The fourth proportional to 228,230, 342,261.04 and 78,427.76 is: 117,612.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,230 : 342,261.04 = 78,427.76 : x
  2. Step 2: Convert to fraction form
    228,230/342,261.04 = 78,427.76/x
  3. Step 3: Cross multiply
    228,230x = 342,261.04 × 78,427.76
  4. Step 4: Simplify right side
    228,230x = 26,842,766,702.47
  5. Step 5: Solve for x
    x = 26,842,766,702.47/228,230
  6. Step 6: Final answer
    x = 117,612.79

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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.