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Finding the Fourth Proportional to 228,436.76, 342,678.09 and 78,657.23

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Solution

The fourth proportional to 228,436.76, 342,678.09 and 78,657.23 is: 117,993.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,436.76 : 342,678.09 = 78,657.23 : x
  2. Step 2: Convert to fraction form
    228,436.76/342,678.09 = 78,657.23/x
  3. Step 3: Cross multiply
    228,436.76x = 342,678.09 × 78,657.23
  4. Step 4: Simplify right side
    228,436.76x = 26,954,109,341.09
  5. Step 5: Solve for x
    x = 26,954,109,341.09/228,436.76
  6. Step 6: Final answer
    x = 117,993.75

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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.