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Finding the Fourth Proportional to 65,714.20, 90,685.50 and 37,419.88

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Solution

The fourth proportional to 65,714.20, 90,685.50 and 37,419.88 is: 51,639.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,714.20 : 90,685.50 = 37,419.88 : x
  2. Step 2: Convert to fraction form
    65,714.20/90,685.50 = 37,419.88/x
  3. Step 3: Cross multiply
    65,714.20x = 90,685.50 × 37,419.88
  4. Step 4: Simplify right side
    65,714.20x = 3,393,440,754.45
  5. Step 5: Solve for x
    x = 3,393,440,754.45/65,714.20
  6. Step 6: Final answer
    x = 51,639.39

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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.