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Finding the Fourth Proportional to 228,580.23, 342,892.89 and 78,800.79

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Solution

The fourth proportional to 228,580.23, 342,892.89 and 78,800.79 is: 118,208.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,580.23 : 342,892.89 = 78,800.79 : x
  2. Step 2: Convert to fraction form
    228,580.23/342,892.89 = 78,800.79/x
  3. Step 3: Cross multiply
    228,580.23x = 342,892.89 × 78,800.79
  4. Step 4: Simplify right side
    228,580.23x = 27,020,230,617.38
  5. Step 5: Solve for x
    x = 27,020,230,617.38/228,580.23
  6. Step 6: Final answer
    x = 118,208.96

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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.