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Finding the Fourth Proportional to 123,414.40, 185,121.60 and 105,918.40

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Solution

The fourth proportional to 123,414.40, 185,121.60 and 105,918.40 is: 158,877.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,414.40 : 185,121.60 = 105,918.40 : x
  2. Step 2: Convert to fraction form
    123,414.40/185,121.60 = 105,918.40/x
  3. Step 3: Cross multiply
    123,414.40x = 185,121.60 × 105,918.40
  4. Step 4: Simplify right side
    123,414.40x = 19,607,783,677.44
  5. Step 5: Solve for x
    x = 19,607,783,677.44/123,414.40
  6. Step 6: Final answer
    x = 158,877.60

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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.