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Finding the Fourth Proportional to 65,823, 90,835.14 and 37,142.86

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Solution

The fourth proportional to 65,823, 90,835.14 and 37,142.86 is: 51,256.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,823 : 90,835.14 = 37,142.86 : x
  2. Step 2: Convert to fraction form
    65,823/90,835.14 = 37,142.86/x
  3. Step 3: Cross multiply
    65,823x = 90,835.14 × 37,142.86
  4. Step 4: Simplify right side
    65,823x = 3,373,876,888.10
  5. Step 5: Solve for x
    x = 3,373,876,888.10/65,823
  6. Step 6: Final answer
    x = 51,256.81

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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.