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Finding the Fourth Proportional to 65,810.26, 90,818.05 and 37,129.88

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Solution

The fourth proportional to 65,810.26, 90,818.05 and 37,129.88 is: 51,239.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,810.26 : 90,818.05 = 37,129.88 : x
  2. Step 2: Convert to fraction form
    65,810.26/90,818.05 = 37,129.88/x
  3. Step 3: Cross multiply
    65,810.26x = 90,818.05 × 37,129.88
  4. Step 4: Simplify right side
    65,810.26x = 3,372,063,298.33
  5. Step 5: Solve for x
    x = 3,372,063,298.33/65,810.26
  6. Step 6: Final answer
    x = 51,239.17

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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.