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Finding the Fourth Proportional to 230,400, 345,619.80 and 64,188

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Solution

The fourth proportional to 230,400, 345,619.80 and 64,188 is: 96,287.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,400 : 345,619.80 = 64,188 : x
  2. Step 2: Convert to fraction form
    230,400/345,619.80 = 64,188/x
  3. Step 3: Cross multiply
    230,400x = 345,619.80 × 64,188
  4. Step 4: Simplify right side
    230,400x = 22,184,643,722.40
  5. Step 5: Solve for x
    x = 22,184,643,722.40/230,400
  6. Step 6: Final answer
    x = 96,287.52

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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.