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Finding the Fourth Proportional to 223,986.24, 309,100.48 and 123,384.32

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Solution

The fourth proportional to 223,986.24, 309,100.48 and 123,384.32 is: 170,270.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,986.24 : 309,100.48 = 123,384.32 : x
  2. Step 2: Convert to fraction form
    223,986.24/309,100.48 = 123,384.32/x
  3. Step 3: Cross multiply
    223,986.24x = 309,100.48 × 123,384.32
  4. Step 4: Simplify right side
    223,986.24x = 38,138,152,536.47
  5. Step 5: Solve for x
    x = 38,138,152,536.47/223,986.24
  6. Step 6: Final answer
    x = 170,270.07

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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.