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Finding the Fourth Proportional to 78,370.62, 117,575.82 and 36,281.09

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Solution

The fourth proportional to 78,370.62, 117,575.82 and 36,281.09 is: 54,430.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,370.62 : 117,575.82 = 36,281.09 : x
  2. Step 2: Convert to fraction form
    78,370.62/117,575.82 = 36,281.09/x
  3. Step 3: Cross multiply
    78,370.62x = 117,575.82 × 36,281.09
  4. Step 4: Simplify right side
    78,370.62x = 4,265,778,319.36
  5. Step 5: Solve for x
    x = 4,265,778,319.36/78,370.62
  6. Step 6: Final answer
    x = 54,430.84

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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.