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Finding the Fourth Proportional to 223,078.78, 307,802.19 and 132,421.96

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Solution

The fourth proportional to 223,078.78, 307,802.19 and 132,421.96 is: 182,714.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,078.78 : 307,802.19 = 132,421.96 : x
  2. Step 2: Convert to fraction form
    223,078.78/307,802.19 = 132,421.96/x
  3. Step 3: Cross multiply
    223,078.78x = 307,802.19 × 132,421.96
  4. Step 4: Simplify right side
    223,078.78x = 40,759,769,292.09
  5. Step 5: Solve for x
    x = 40,759,769,292.09/223,078.78
  6. Step 6: Final answer
    x = 182,714.69

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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.