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Finding the Fourth Proportional to 102,181.72, 141,009.42 and 57,469.72

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Solution

The fourth proportional to 102,181.72, 141,009.42 and 57,469.72 is: 79,307.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,181.72 : 141,009.42 = 57,469.72 : x
  2. Step 2: Convert to fraction form
    102,181.72/141,009.42 = 57,469.72/x
  3. Step 3: Cross multiply
    102,181.72x = 141,009.42 × 57,469.72
  4. Step 4: Simplify right side
    102,181.72x = 8,103,771,884.76
  5. Step 5: Solve for x
    x = 8,103,771,884.76/102,181.72
  6. Step 6: Final answer
    x = 79,307.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.