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Finding the Fourth Proportional to 223,892.20, 308,970.75 and 121,916.08

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Solution

The fourth proportional to 223,892.20, 308,970.75 and 121,916.08 is: 168,243.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,892.20 : 308,970.75 = 121,916.08 : x
  2. Step 2: Convert to fraction form
    223,892.20/308,970.75 = 121,916.08/x
  3. Step 3: Cross multiply
    223,892.20x = 308,970.75 × 121,916.08
  4. Step 4: Simplify right side
    223,892.20x = 37,668,502,674.66
  5. Step 5: Solve for x
    x = 37,668,502,674.66/223,892.20
  6. Step 6: Final answer
    x = 168,243.93

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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.