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Finding the Fourth Proportional to 214,395.60, 321,639.60 and 72,255.12

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Solution

The fourth proportional to 214,395.60, 321,639.60 and 72,255.12 is: 108,398.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,395.60 : 321,639.60 = 72,255.12 : x
  2. Step 2: Convert to fraction form
    214,395.60/321,639.60 = 72,255.12/x
  3. Step 3: Cross multiply
    214,395.60x = 321,639.60 × 72,255.12
  4. Step 4: Simplify right side
    214,395.60x = 23,240,107,894.75
  5. Step 5: Solve for x
    x = 23,240,107,894.75/214,395.60
  6. Step 6: Final answer
    x = 108,398.25

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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.