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Finding the Fourth Proportional to 228,315.78, 342,388.53 and 78,513.66

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Solution

The fourth proportional to 228,315.78, 342,388.53 and 78,513.66 is: 117,741.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,315.78 : 342,388.53 = 78,513.66 : x
  2. Step 2: Convert to fraction form
    228,315.78/342,388.53 = 78,513.66/x
  3. Step 3: Cross multiply
    228,315.78x = 342,388.53 × 78,513.66
  4. Step 4: Simplify right side
    228,315.78x = 26,882,176,632.32
  5. Step 5: Solve for x
    x = 26,882,176,632.32/228,315.78
  6. Step 6: Final answer
    x = 117,741.21

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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.