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Finding the Fourth Proportional to 223,538.64, 308,486.98 and 121,566.12

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Solution

The fourth proportional to 223,538.64, 308,486.98 and 121,566.12 is: 167,763.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,538.64 : 308,486.98 = 121,566.12 : x
  2. Step 2: Convert to fraction form
    223,538.64/308,486.98 = 121,566.12/x
  3. Step 3: Cross multiply
    223,538.64x = 308,486.98 × 121,566.12
  4. Step 4: Simplify right side
    223,538.64x = 37,501,564,224.25
  5. Step 5: Solve for x
    x = 37,501,564,224.25/223,538.64
  6. Step 6: Final answer
    x = 167,763.23

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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.