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Finding the Fourth Proportional to 235,788.39, 353,726.33 and 78,018.21

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Solution

The fourth proportional to 235,788.39, 353,726.33 and 78,018.21 is: 117,041.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,788.39 : 353,726.33 = 78,018.21 : x
  2. Step 2: Convert to fraction form
    235,788.39/353,726.33 = 78,018.21/x
  3. Step 3: Cross multiply
    235,788.39x = 353,726.33 × 78,018.21
  4. Step 4: Simplify right side
    235,788.39x = 27,597,094,706.38
  5. Step 5: Solve for x
    x = 27,597,094,706.38/235,788.39
  6. Step 6: Final answer
    x = 117,041.79

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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.