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Finding the Fourth Proportional to 122,542.74, 183,683.42 and 69,838.74

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Solution

The fourth proportional to 122,542.74, 183,683.42 and 69,838.74 is: 104,683.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,542.74 : 183,683.42 = 69,838.74 : x
  2. Step 2: Convert to fraction form
    122,542.74/183,683.42 = 69,838.74/x
  3. Step 3: Cross multiply
    122,542.74x = 183,683.42 × 69,838.74
  4. Step 4: Simplify right side
    122,542.74x = 12,828,218,611.69
  5. Step 5: Solve for x
    x = 12,828,218,611.69/122,542.74
  6. Step 6: Final answer
    x = 104,683.63

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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.