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Finding the Fourth Proportional to 85,534.78, 118,041.60 and 47,809

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Solution

The fourth proportional to 85,534.78, 118,041.60 and 47,809 is: 65,978.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,534.78 : 118,041.60 = 47,809 : x
  2. Step 2: Convert to fraction form
    85,534.78/118,041.60 = 47,809/x
  3. Step 3: Cross multiply
    85,534.78x = 118,041.60 × 47,809
  4. Step 4: Simplify right side
    85,534.78x = 5,643,450,854.40
  5. Step 5: Solve for x
    x = 5,643,450,854.40/85,534.78
  6. Step 6: Final answer
    x = 65,978.43

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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.