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Finding the Fourth Proportional to 65,715.40, 90,689.12 and 36,644.44

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Solution

The fourth proportional to 65,715.40, 90,689.12 and 36,644.44 is: 50,570.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,715.40 : 90,689.12 = 36,644.44 : x
  2. Step 2: Convert to fraction form
    65,715.40/90,689.12 = 36,644.44/x
  3. Step 3: Cross multiply
    65,715.40x = 90,689.12 × 36,644.44
  4. Step 4: Simplify right side
    65,715.40x = 3,323,251,379.83
  5. Step 5: Solve for x
    x = 3,323,251,379.83/65,715.40
  6. Step 6: Final answer
    x = 50,570.36

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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.