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Finding the Fourth Proportional to 65,689.86, 90,652.08 and 37,395.50

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Solution

The fourth proportional to 65,689.86, 90,652.08 and 37,395.50 is: 51,605.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,689.86 : 90,652.08 = 37,395.50 : x
  2. Step 2: Convert to fraction form
    65,689.86/90,652.08 = 37,395.50/x
  3. Step 3: Cross multiply
    65,689.86x = 90,652.08 × 37,395.50
  4. Step 4: Simplify right side
    65,689.86x = 3,389,979,857.64
  5. Step 5: Solve for x
    x = 3,389,979,857.64/65,689.86
  6. Step 6: Final answer
    x = 51,605.83

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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.