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Finding the Fourth Proportional to 236,020.92, 353,954.82 and 78,207

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Solution

The fourth proportional to 236,020.92, 353,954.82 and 78,207 is: 117,285.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,020.92 : 353,954.82 = 78,207 : x
  2. Step 2: Convert to fraction form
    236,020.92/353,954.82 = 78,207/x
  3. Step 3: Cross multiply
    236,020.92x = 353,954.82 × 78,207
  4. Step 4: Simplify right side
    236,020.92x = 27,681,744,607.74
  5. Step 5: Solve for x
    x = 27,681,744,607.74/236,020.92
  6. Step 6: Final answer
    x = 117,285.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.