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Finding the Fourth Proportional to 78,393.35, 117,606.80 and 24,356.90

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Solution

The fourth proportional to 78,393.35, 117,606.80 and 24,356.90 is: 36,540.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,393.35 : 117,606.80 = 24,356.90 : x
  2. Step 2: Convert to fraction form
    78,393.35/117,606.80 = 24,356.90/x
  3. Step 3: Cross multiply
    78,393.35x = 117,606.80 × 24,356.90
  4. Step 4: Simplify right side
    78,393.35x = 2,864,537,421.83
  5. Step 5: Solve for x
    x = 2,864,537,421.83/78,393.35
  6. Step 6: Final answer
    x = 36,540.57

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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.