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Finding the Fourth Proportional to 82,101.47, 122,956.71 and 52,427.39

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Solution

The fourth proportional to 82,101.47, 122,956.71 and 52,427.39 is: 78,516.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,101.47 : 122,956.71 = 52,427.39 : x
  2. Step 2: Convert to fraction form
    82,101.47/122,956.71 = 52,427.39/x
  3. Step 3: Cross multiply
    82,101.47x = 122,956.71 × 52,427.39
  4. Step 4: Simplify right side
    82,101.47x = 6,446,298,773.50
  5. Step 5: Solve for x
    x = 6,446,298,773.50/82,101.47
  6. Step 6: Final answer
    x = 78,516.25

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