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Finding the Fourth Proportional to 122,122.72, 183,212.70 and 37,878.58

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Solution

The fourth proportional to 122,122.72, 183,212.70 and 37,878.58 is: 56,826.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,122.72 : 183,212.70 = 37,878.58 : x
  2. Step 2: Convert to fraction form
    122,122.72/183,212.70 = 37,878.58/x
  3. Step 3: Cross multiply
    122,122.72x = 183,212.70 × 37,878.58
  4. Step 4: Simplify right side
    122,122.72x = 6,939,836,913.97
  5. Step 5: Solve for x
    x = 6,939,836,913.97/122,122.72
  6. Step 6: Final answer
    x = 56,826.75

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1.5x scale

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.