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Finding the Fourth Proportional to 78,408.74, 108,203.48 and 42,599.04

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Solution

The fourth proportional to 78,408.74, 108,203.48 and 42,599.04 is: 58,786.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,408.74 : 108,203.48 = 42,599.04 : x
  2. Step 2: Convert to fraction form
    78,408.74/108,203.48 = 42,599.04/x
  3. Step 3: Cross multiply
    78,408.74x = 108,203.48 × 42,599.04
  4. Step 4: Simplify right side
    78,408.74x = 4,609,364,372.66
  5. Step 5: Solve for x
    x = 4,609,364,372.66/78,408.74
  6. Step 6: Final answer
    x = 58,786.36

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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.