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Finding the Fourth Proportional to 223,816.68, 308,866.02 and 123,214.60

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Solution

The fourth proportional to 223,816.68, 308,866.02 and 123,214.60 is: 170,035.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,816.68 : 308,866.02 = 123,214.60 : x
  2. Step 2: Convert to fraction form
    223,816.68/308,866.02 = 123,214.60/x
  3. Step 3: Cross multiply
    223,816.68x = 308,866.02 × 123,214.60
  4. Step 4: Simplify right side
    223,816.68x = 38,056,803,107.89
  5. Step 5: Solve for x
    x = 38,056,803,107.89/223,816.68
  6. Step 6: Final answer
    x = 170,035.60

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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.