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Finding the Fourth Proportional to 55,714.68, 76,878.12 and 31,836.74

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Solution

The fourth proportional to 55,714.68, 76,878.12 and 31,836.74 is: 43,930.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,714.68 : 76,878.12 = 31,836.74 : x
  2. Step 2: Convert to fraction form
    55,714.68/76,878.12 = 31,836.74/x
  3. Step 3: Cross multiply
    55,714.68x = 76,878.12 × 31,836.74
  4. Step 4: Simplify right side
    55,714.68x = 2,447,548,333.74
  5. Step 5: Solve for x
    x = 2,447,548,333.74/55,714.68
  6. Step 6: Final answer
    x = 43,930.05

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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.