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Finding the Fourth Proportional to 47,757.58, 65,686.35 and 38,305.42

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Solution

The fourth proportional to 47,757.58, 65,686.35 and 38,305.42 is: 52,685.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,757.58 : 65,686.35 = 38,305.42 : x
  2. Step 2: Convert to fraction form
    47,757.58/65,686.35 = 38,305.42/x
  3. Step 3: Cross multiply
    47,757.58x = 65,686.35 × 38,305.42
  4. Step 4: Simplify right side
    47,757.58x = 2,516,143,225.02
  5. Step 5: Solve for x
    x = 2,516,143,225.02/47,757.58
  6. Step 6: Final answer
    x = 52,685.74

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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.