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Finding the Fourth Proportional to 223,641, 308,624.58 and 123,036.84

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Solution

The fourth proportional to 223,641, 308,624.58 and 123,036.84 is: 169,790.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,641 : 308,624.58 = 123,036.84 : x
  2. Step 2: Convert to fraction form
    223,641/308,624.58 = 123,036.84/x
  3. Step 3: Cross multiply
    223,641x = 308,624.58 × 123,036.84
  4. Step 4: Simplify right side
    223,641x = 37,972,193,069.53
  5. Step 5: Solve for x
    x = 37,972,193,069.53/223,641
  6. Step 6: Final answer
    x = 169,790.84

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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.