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Finding the Fourth Proportional to 223,078.65, 307,848.78 and 121,104.06

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Solution

The fourth proportional to 223,078.65, 307,848.78 and 121,104.06 is: 167,123.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,078.65 : 307,848.78 = 121,104.06 : x
  2. Step 2: Convert to fraction form
    223,078.65/307,848.78 = 121,104.06/x
  3. Step 3: Cross multiply
    223,078.65x = 307,848.78 × 121,104.06
  4. Step 4: Simplify right side
    223,078.65x = 37,281,737,124.05
  5. Step 5: Solve for x
    x = 37,281,737,124.05/223,078.65
  6. Step 6: Final answer
    x = 167,123.73

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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.