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Finding the Fourth Proportional to 228,178.56, 342,180.18 and 78,390.84

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Solution

The fourth proportional to 228,178.56, 342,180.18 and 78,390.84 is: 117,556.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,178.56 : 342,180.18 = 78,390.84 : x
  2. Step 2: Convert to fraction form
    228,178.56/342,180.18 = 78,390.84/x
  3. Step 3: Cross multiply
    228,178.56x = 342,180.18 × 78,390.84
  4. Step 4: Simplify right side
    228,178.56x = 26,823,791,741.55
  5. Step 5: Solve for x
    x = 26,823,791,741.55/228,178.56
  6. Step 6: Final answer
    x = 117,556.14

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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.