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Finding the Fourth Proportional to 228,569.60, 342,876.94 and 78,790.17

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Solution

The fourth proportional to 228,569.60, 342,876.94 and 78,790.17 is: 118,193.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,569.60 : 342,876.94 = 78,790.17 : x
  2. Step 2: Convert to fraction form
    228,569.60/342,876.94 = 78,790.17/x
  3. Step 3: Cross multiply
    228,569.60x = 342,876.94 × 78,790.17
  4. Step 4: Simplify right side
    228,569.60x = 27,015,331,773.41
  5. Step 5: Solve for x
    x = 27,015,331,773.41/228,569.60
  6. Step 6: Final answer
    x = 118,193.02

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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.