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Finding the Fourth Proportional to 85,563.95, 118,078.16 and 47,838.20

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Solution

The fourth proportional to 85,563.95, 118,078.16 and 47,838.20 is: 66,016.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,563.95 : 118,078.16 = 47,838.20 : x
  2. Step 2: Convert to fraction form
    85,563.95/118,078.16 = 47,838.20/x
  3. Step 3: Cross multiply
    85,563.95x = 118,078.16 × 47,838.20
  4. Step 4: Simplify right side
    85,563.95x = 5,648,645,804.13
  5. Step 5: Solve for x
    x = 5,648,645,804.13/85,563.95
  6. Step 6: Final answer
    x = 66,016.66

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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.