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Finding the Fourth Proportional to 65,817.13, 90,827.63 and 37,142.86

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Solution

The fourth proportional to 65,817.13, 90,827.63 and 37,142.86 is: 51,257.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,817.13 : 90,827.63 = 37,142.86 : x
  2. Step 2: Convert to fraction form
    65,817.13/90,827.63 = 37,142.86/x
  3. Step 3: Cross multiply
    65,817.13x = 90,827.63 × 37,142.86
  4. Step 4: Simplify right side
    65,817.13x = 3,373,597,305.37
  5. Step 5: Solve for x
    x = 3,373,597,305.37/65,817.13
  6. Step 6: Final answer
    x = 51,257.14

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1.5x scale

Why These Related Problems?

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