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Finding the Fourth Proportional to 86,714.94, 129,936.33 and 51,635.46

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Solution

The fourth proportional to 86,714.94, 129,936.33 and 51,635.46 is: 77,372.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,714.94 : 129,936.33 = 51,635.46 : x
  2. Step 2: Convert to fraction form
    86,714.94/129,936.33 = 51,635.46/x
  3. Step 3: Cross multiply
    86,714.94x = 129,936.33 × 51,635.46
  4. Step 4: Simplify right side
    86,714.94x = 6,709,322,170.26
  5. Step 5: Solve for x
    x = 6,709,322,170.26/86,714.94
  6. Step 6: Final answer
    x = 77,372.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.