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Finding the Fourth Proportional to 228,436.39, 342,677.53 and 78,656.86

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Solution

The fourth proportional to 228,436.39, 342,677.53 and 78,656.86 is: 117,993.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,436.39 : 342,677.53 = 78,656.86 : x
  2. Step 2: Convert to fraction form
    228,436.39/342,677.53 = 78,656.86/x
  3. Step 3: Cross multiply
    228,436.39x = 342,677.53 × 78,656.86
  4. Step 4: Simplify right side
    228,436.39x = 26,953,938,502.36
  5. Step 5: Solve for x
    x = 26,953,938,502.36/228,436.39
  6. Step 6: Final answer
    x = 117,993.19

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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.