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Finding the Fourth Proportional to 228,452.34, 342,715.23 and 78,655.80

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Solution

The fourth proportional to 228,452.34, 342,715.23 and 78,655.80 is: 117,996.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,452.34 : 342,715.23 = 78,655.80 : x
  2. Step 2: Convert to fraction form
    228,452.34/342,715.23 = 78,655.80/x
  3. Step 3: Cross multiply
    228,452.34x = 342,715.23 × 78,655.80
  4. Step 4: Simplify right side
    228,452.34x = 26,956,540,587.83
  5. Step 5: Solve for x
    x = 26,956,540,587.83/228,452.34
  6. Step 6: Final answer
    x = 117,996.34

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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.