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Finding the Fourth Proportional to 223,378.68, 308,264.96 and 121,404.14

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Solution

The fourth proportional to 223,378.68, 308,264.96 and 121,404.14 is: 167,539.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,378.68 : 308,264.96 = 121,404.14 : x
  2. Step 2: Convert to fraction form
    223,378.68/308,264.96 = 121,404.14/x
  3. Step 3: Cross multiply
    223,378.68x = 308,264.96 × 121,404.14
  4. Step 4: Simplify right side
    223,378.68x = 37,424,642,360.93
  5. Step 5: Solve for x
    x = 37,424,642,360.93/223,378.68
  6. Step 6: Final answer
    x = 167,539.01

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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.