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Finding the Fourth Proportional to 57,139.60, 85,709.40 and 23,848.60

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Solution

The fourth proportional to 57,139.60, 85,709.40 and 23,848.60 is: 35,772.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,139.60 : 85,709.40 = 23,848.60 : x
  2. Step 2: Convert to fraction form
    57,139.60/85,709.40 = 23,848.60/x
  3. Step 3: Cross multiply
    57,139.60x = 85,709.40 × 23,848.60
  4. Step 4: Simplify right side
    57,139.60x = 2,044,049,196.84
  5. Step 5: Solve for x
    x = 2,044,049,196.84/57,139.60
  6. Step 6: Final answer
    x = 35,772.90

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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.