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Finding the Fourth Proportional to 234,199.08, 323,201 and 142,287.08

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Solution

The fourth proportional to 234,199.08, 323,201 and 142,287.08 is: 196,359.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,199.08 : 323,201 = 142,287.08 : x
  2. Step 2: Convert to fraction form
    234,199.08/323,201 = 142,287.08/x
  3. Step 3: Cross multiply
    234,199.08x = 323,201 × 142,287.08
  4. Step 4: Simplify right side
    234,199.08x = 45,987,326,543.08
  5. Step 5: Solve for x
    x = 45,987,326,543.08/234,199.08
  6. Step 6: Final answer
    x = 196,359.98

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.