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Finding the Fourth Proportional to 223,713.18, 308,730.68 and 121,745.22

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Solution

The fourth proportional to 223,713.18, 308,730.68 and 121,745.22 is: 168,011.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,713.18 : 308,730.68 = 121,745.22 : x
  2. Step 2: Convert to fraction form
    223,713.18/308,730.68 = 121,745.22/x
  3. Step 3: Cross multiply
    223,713.18x = 308,730.68 × 121,745.22
  4. Step 4: Simplify right side
    223,713.18x = 37,586,484,557.35
  5. Step 5: Solve for x
    x = 37,586,484,557.35/223,713.18
  6. Step 6: Final answer
    x = 168,011.94

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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.