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Finding the Fourth Proportional to 85,605.04, 118,128.54 and 47,872

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Solution

The fourth proportional to 85,605.04, 118,128.54 and 47,872 is: 66,059.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,605.04 : 118,128.54 = 47,872 : x
  2. Step 2: Convert to fraction form
    85,605.04/118,128.54 = 47,872/x
  3. Step 3: Cross multiply
    85,605.04x = 118,128.54 × 47,872
  4. Step 4: Simplify right side
    85,605.04x = 5,655,049,466.88
  5. Step 5: Solve for x
    x = 5,655,049,466.88/85,605.04
  6. Step 6: Final answer
    x = 66,059.77

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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.