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Finding the Fourth Proportional to 228,400.23, 342,623.16 and 78,620.70

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Solution

The fourth proportional to 228,400.23, 342,623.16 and 78,620.70 is: 117,938.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,400.23 : 342,623.16 = 78,620.70 : x
  2. Step 2: Convert to fraction form
    228,400.23/342,623.16 = 78,620.70/x
  3. Step 3: Cross multiply
    228,400.23x = 342,623.16 × 78,620.70
  4. Step 4: Simplify right side
    228,400.23x = 26,937,272,675.41
  5. Step 5: Solve for x
    x = 26,937,272,675.41/228,400.23
  6. Step 6: Final answer
    x = 117,938.90

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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.