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Finding the Fourth Proportional to 228,204.72, 342,073.80 and 78,400.08

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Solution

The fourth proportional to 228,204.72, 342,073.80 and 78,400.08 is: 117,519.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,204.72 : 342,073.80 = 78,400.08 : x
  2. Step 2: Convert to fraction form
    228,204.72/342,073.80 = 78,400.08/x
  3. Step 3: Cross multiply
    228,204.72x = 342,073.80 × 78,400.08
  4. Step 4: Simplify right side
    228,204.72x = 26,818,613,285.90
  5. Step 5: Solve for x
    x = 26,818,613,285.90/228,204.72
  6. Step 6: Final answer
    x = 117,519.98

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1.5x scale

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.