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Finding the Fourth Proportional to 122,139.70, 183,209.55 and 84,814.90

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Solution

The fourth proportional to 122,139.70, 183,209.55 and 84,814.90 is: 127,222.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,139.70 : 183,209.55 = 84,814.90 : x
  2. Step 2: Convert to fraction form
    122,139.70/183,209.55 = 84,814.90/x
  3. Step 3: Cross multiply
    122,139.70x = 183,209.55 × 84,814.90
  4. Step 4: Simplify right side
    122,139.70x = 15,538,899,662.30
  5. Step 5: Solve for x
    x = 15,538,899,662.30/122,139.70
  6. Step 6: Final answer
    x = 127,222.35

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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.