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Finding the Fourth Proportional to 57,885.15, 86,829.25 and 15,765.59

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Solution

The fourth proportional to 57,885.15, 86,829.25 and 15,765.59 is: 23,648.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,885.15 : 86,829.25 = 15,765.59 : x
  2. Step 2: Convert to fraction form
    57,885.15/86,829.25 = 15,765.59/x
  3. Step 3: Cross multiply
    57,885.15x = 86,829.25 × 15,765.59
  4. Step 4: Simplify right side
    57,885.15x = 1,368,914,533.17
  5. Step 5: Solve for x
    x = 1,368,914,533.17/57,885.15
  6. Step 6: Final answer
    x = 23,648.80

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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.