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Finding the Fourth Proportional to 85,716.34, 128,462.73 and 47,764.02

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Solution

The fourth proportional to 85,716.34, 128,462.73 and 47,764.02 is: 71,583.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,716.34 : 128,462.73 = 47,764.02 : x
  2. Step 2: Convert to fraction form
    85,716.34/128,462.73 = 47,764.02/x
  3. Step 3: Cross multiply
    85,716.34x = 128,462.73 × 47,764.02
  4. Step 4: Simplify right side
    85,716.34x = 6,135,896,253.66
  5. Step 5: Solve for x
    x = 6,135,896,253.66/85,716.34
  6. Step 6: Final answer
    x = 71,583.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.