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Finding the Fourth Proportional to 78,560.74, 117,848.43 and 31,817.26

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Solution

The fourth proportional to 78,560.74, 117,848.43 and 31,817.26 is: 47,728.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,560.74 : 117,848.43 = 31,817.26 : x
  2. Step 2: Convert to fraction form
    78,560.74/117,848.43 = 31,817.26/x
  3. Step 3: Cross multiply
    78,560.74x = 117,848.43 × 31,817.26
  4. Step 4: Simplify right side
    78,560.74x = 3,749,614,137.90
  5. Step 5: Solve for x
    x = 3,749,614,137.90/78,560.74
  6. Step 6: Final answer
    x = 47,728.85

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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.