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Finding the Fourth Proportional to 85,713.44, 118,270.40 and 53,859.76

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Solution

The fourth proportional to 85,713.44, 118,270.40 and 53,859.76 is: 74,317.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,713.44 : 118,270.40 = 53,859.76 : x
  2. Step 2: Convert to fraction form
    85,713.44/118,270.40 = 53,859.76/x
  3. Step 3: Cross multiply
    85,713.44x = 118,270.40 × 53,859.76
  4. Step 4: Simplify right side
    85,713.44x = 6,370,015,359.10
  5. Step 5: Solve for x
    x = 6,370,015,359.10/85,713.44
  6. Step 6: Final answer
    x = 74,317.58

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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.