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Finding the Fourth Proportional to 223,439.95, 308,349.14 and 121,465.61

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Solution

The fourth proportional to 223,439.95, 308,349.14 and 121,465.61 is: 167,623.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,439.95 : 308,349.14 = 121,465.61 : x
  2. Step 2: Convert to fraction form
    223,439.95/308,349.14 = 121,465.61/x
  3. Step 3: Cross multiply
    223,439.95x = 308,349.14 × 121,465.61
  4. Step 4: Simplify right side
    223,439.95x = 37,453,815,845.81
  5. Step 5: Solve for x
    x = 37,453,815,845.81/223,439.95
  6. Step 6: Final answer
    x = 167,623.63

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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.