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Finding the Fourth Proportional to 78,409.63, 117,436.53 and 49,946.74

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Solution

The fourth proportional to 78,409.63, 117,436.53 and 49,946.74 is: 74,806.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,409.63 : 117,436.53 = 49,946.74 : x
  2. Step 2: Convert to fraction form
    78,409.63/117,436.53 = 49,946.74/x
  3. Step 3: Cross multiply
    78,409.63x = 117,436.53 × 49,946.74
  4. Step 4: Simplify right side
    78,409.63x = 5,865,571,830.41
  5. Step 5: Solve for x
    x = 5,865,571,830.41/78,409.63
  6. Step 6: Final answer
    x = 74,806.78

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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.