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Finding the Fourth Proportional to 57,419.70, 85,886.55 and 51,539.10

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Solution

The fourth proportional to 57,419.70, 85,886.55 and 51,539.10 is: 77,090.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,419.70 : 85,886.55 = 51,539.10 : x
  2. Step 2: Convert to fraction form
    57,419.70/85,886.55 = 51,539.10/x
  3. Step 3: Cross multiply
    57,419.70x = 85,886.55 × 51,539.10
  4. Step 4: Simplify right side
    57,419.70x = 4,426,515,489.11
  5. Step 5: Solve for x
    x = 4,426,515,489.11/57,419.70
  6. Step 6: Final answer
    x = 77,090.54

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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.