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Finding the Fourth Proportional to 85,652.80, 118,199.84 and 47,927.36

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Solution

The fourth proportional to 85,652.80, 118,199.84 and 47,927.36 is: 66,139.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,652.80 : 118,199.84 = 47,927.36 : x
  2. Step 2: Convert to fraction form
    85,652.80/118,199.84 = 47,927.36/x
  3. Step 3: Cross multiply
    85,652.80x = 118,199.84 × 47,927.36
  4. Step 4: Simplify right side
    85,652.80x = 5,665,006,283.62
  5. Step 5: Solve for x
    x = 5,665,006,283.62/85,652.80
  6. Step 6: Final answer
    x = 66,139.18

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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.