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Finding the Fourth Proportional to 100,023.20, 149,881.20 and 86,813.60

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Solution

The fourth proportional to 100,023.20, 149,881.20 and 86,813.60 is: 130,087.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,023.20 : 149,881.20 = 86,813.60 : x
  2. Step 2: Convert to fraction form
    100,023.20/149,881.20 = 86,813.60/x
  3. Step 3: Cross multiply
    100,023.20x = 149,881.20 × 86,813.60
  4. Step 4: Simplify right side
    100,023.20x = 13,011,726,544.32
  5. Step 5: Solve for x
    x = 13,011,726,544.32/100,023.20
  6. Step 6: Final answer
    x = 130,087.09

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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.