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Finding the Fourth Proportional to 85,764.51, 118,353.25 and 47,523.72

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Solution

The fourth proportional to 85,764.51, 118,353.25 and 47,523.72 is: 65,581.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,764.51 : 118,353.25 = 47,523.72 : x
  2. Step 2: Convert to fraction form
    85,764.51/118,353.25 = 47,523.72/x
  3. Step 3: Cross multiply
    85,764.51x = 118,353.25 × 47,523.72
  4. Step 4: Simplify right side
    85,764.51x = 5,624,586,476.47
  5. Step 5: Solve for x
    x = 5,624,586,476.47/85,764.51
  6. Step 6: Final answer
    x = 65,581.75

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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.