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Finding the Fourth Proportional to 228,572.16, 342,880.80 and 78,792.74

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Solution

The fourth proportional to 228,572.16, 342,880.80 and 78,792.74 is: 118,196.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,572.16 : 342,880.80 = 78,792.74 : x
  2. Step 2: Convert to fraction form
    228,572.16/342,880.80 = 78,792.74/x
  3. Step 3: Cross multiply
    228,572.16x = 342,880.80 × 78,792.74
  4. Step 4: Simplify right side
    228,572.16x = 27,016,517,725.39
  5. Step 5: Solve for x
    x = 27,016,517,725.39/228,572.16
  6. Step 6: Final answer
    x = 118,196.89

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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.