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Finding the Fourth Proportional to 228,412.36, 342,641.36 and 78,632.83

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Solution

The fourth proportional to 228,412.36, 342,641.36 and 78,632.83 is: 117,957.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,412.36 : 342,641.36 = 78,632.83 : x
  2. Step 2: Convert to fraction form
    228,412.36/342,641.36 = 78,632.83/x
  3. Step 3: Cross multiply
    228,412.36x = 342,641.36 × 78,632.83
  4. Step 4: Simplify right side
    228,412.36x = 26,942,859,811.85
  5. Step 5: Solve for x
    x = 26,942,859,811.85/228,412.36
  6. Step 6: Final answer
    x = 117,957.10

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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.