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Finding the Fourth Proportional to 122,775.40, 183,903.90 and 102,039.40

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Solution

The fourth proportional to 122,775.40, 183,903.90 and 102,039.40 is: 152,843.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,775.40 : 183,903.90 = 102,039.40 : x
  2. Step 2: Convert to fraction form
    122,775.40/183,903.90 = 102,039.40/x
  3. Step 3: Cross multiply
    122,775.40x = 183,903.90 × 102,039.40
  4. Step 4: Simplify right side
    122,775.40x = 18,765,443,613.66
  5. Step 5: Solve for x
    x = 18,765,443,613.66/122,775.40
  6. Step 6: Final answer
    x = 152,843.68

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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.