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Finding the Fourth Proportional to 223,957.82, 309,061.76 and 123,355.82

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Solution

The fourth proportional to 223,957.82, 309,061.76 and 123,355.82 is: 170,231.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,957.82 : 309,061.76 = 123,355.82 : x
  2. Step 2: Convert to fraction form
    223,957.82/309,061.76 = 123,355.82/x
  3. Step 3: Cross multiply
    223,957.82x = 309,061.76 × 123,355.82
  4. Step 4: Simplify right side
    223,957.82x = 38,124,566,835.44
  5. Step 5: Solve for x
    x = 38,124,566,835.44/223,957.82
  6. Step 6: Final answer
    x = 170,231.01

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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.