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Finding the Fourth Proportional to 85,607, 118,138.12 and 47,881.24

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Solution

The fourth proportional to 85,607, 118,138.12 and 47,881.24 is: 66,076.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,607 : 118,138.12 = 47,881.24 : x
  2. Step 2: Convert to fraction form
    85,607/118,138.12 = 47,881.24/x
  3. Step 3: Cross multiply
    85,607x = 118,138.12 × 47,881.24
  4. Step 4: Simplify right side
    85,607x = 5,656,599,676.87
  5. Step 5: Solve for x
    x = 5,656,599,676.87/85,607
  6. Step 6: Final answer
    x = 66,076.37

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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.