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Finding the Fourth Proportional to 223,960.32, 309,042.16 and 137,905.60

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Solution

The fourth proportional to 223,960.32, 309,042.16 and 137,905.60 is: 190,295.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,960.32 : 309,042.16 = 137,905.60 : x
  2. Step 2: Convert to fraction form
    223,960.32/309,042.16 = 137,905.60/x
  3. Step 3: Cross multiply
    223,960.32x = 309,042.16 × 137,905.60
  4. Step 4: Simplify right side
    223,960.32x = 42,618,644,500.10
  5. Step 5: Solve for x
    x = 42,618,644,500.10/223,960.32
  6. Step 6: Final answer
    x = 190,295.52

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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.