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Finding the Fourth Proportional to 223,641.73, 308,617.68 and 121,664.35

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Solution

The fourth proportional to 223,641.73, 308,617.68 and 121,664.35 is: 167,892.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,641.73 : 308,617.68 = 121,664.35 : x
  2. Step 2: Convert to fraction form
    223,641.73/308,617.68 = 121,664.35/x
  3. Step 3: Cross multiply
    223,641.73x = 308,617.68 × 121,664.35
  4. Step 4: Simplify right side
    223,641.73x = 37,547,769,435.71
  5. Step 5: Solve for x
    x = 37,547,769,435.71/223,641.73
  6. Step 6: Final answer
    x = 167,892.50

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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.