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Finding the Fourth Proportional to 100,012.40, 149,994.60 and 57,801.20

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Solution

The fourth proportional to 100,012.40, 149,994.60 and 57,801.20 is: 86,687.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,012.40 : 149,994.60 = 57,801.20 : x
  2. Step 2: Convert to fraction form
    100,012.40/149,994.60 = 57,801.20/x
  3. Step 3: Cross multiply
    100,012.40x = 149,994.60 × 57,801.20
  4. Step 4: Simplify right side
    100,012.40x = 8,669,867,873.52
  5. Step 5: Solve for x
    x = 8,669,867,873.52/100,012.40
  6. Step 6: Final answer
    x = 86,687.93

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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.