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Finding the Fourth Proportional to 122,478.78, 183,729.77 and 47,604.71

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Solution

The fourth proportional to 122,478.78, 183,729.77 and 47,604.71 is: 71,411.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,478.78 : 183,729.77 = 47,604.71 : x
  2. Step 2: Convert to fraction form
    122,478.78/183,729.77 = 47,604.71/x
  3. Step 3: Cross multiply
    122,478.78x = 183,729.77 × 47,604.71
  4. Step 4: Simplify right side
    122,478.78x = 8,746,402,819.04
  5. Step 5: Solve for x
    x = 8,746,402,819.04/122,478.78
  6. Step 6: Final answer
    x = 71,411.57

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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.