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Finding the Fourth Proportional to 65,714.25, 90,685.80 and 37,419.96

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Solution

The fourth proportional to 65,714.25, 90,685.80 and 37,419.96 is: 51,639.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,714.25 : 90,685.80 = 37,419.96 : x
  2. Step 2: Convert to fraction form
    65,714.25/90,685.80 = 37,419.96/x
  3. Step 3: Cross multiply
    65,714.25x = 90,685.80 × 37,419.96
  4. Step 4: Simplify right side
    65,714.25x = 3,393,459,008.57
  5. Step 5: Solve for x
    x = 3,393,459,008.57/65,714.25
  6. Step 6: Final answer
    x = 51,639.62

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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.