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Finding the Fourth Proportional to 78,494.82, 117,705.30 and 28,539.72

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Solution

The fourth proportional to 78,494.82, 117,705.30 and 28,539.72 is: 42,796.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,494.82 : 117,705.30 = 28,539.72 : x
  2. Step 2: Convert to fraction form
    78,494.82/117,705.30 = 28,539.72/x
  3. Step 3: Cross multiply
    78,494.82x = 117,705.30 × 28,539.72
  4. Step 4: Simplify right side
    78,494.82x = 3,359,276,304.52
  5. Step 5: Solve for x
    x = 3,359,276,304.52/78,494.82
  6. Step 6: Final answer
    x = 42,796.15

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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.