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Finding the Fourth Proportional to 223,898.13, 308,979.42 and 123,296.13

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Solution

The fourth proportional to 223,898.13, 308,979.42 and 123,296.13 is: 170,148.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,898.13 : 308,979.42 = 123,296.13 : x
  2. Step 2: Convert to fraction form
    223,898.13/308,979.42 = 123,296.13/x
  3. Step 3: Cross multiply
    223,898.13x = 308,979.42 × 123,296.13
  4. Step 4: Simplify right side
    223,898.13x = 38,095,966,735.64
  5. Step 5: Solve for x
    x = 38,095,966,735.64/223,898.13
  6. Step 6: Final answer
    x = 170,148.66

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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.