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Finding the Fourth Proportional to 82,714, 114,114.40 and 48,701.70

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Solution

The fourth proportional to 82,714, 114,114.40 and 48,701.70 is: 67,190.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,714 : 114,114.40 = 48,701.70 : x
  2. Step 2: Convert to fraction form
    82,714/114,114.40 = 48,701.70/x
  3. Step 3: Cross multiply
    82,714x = 114,114.40 × 48,701.70
  4. Step 4: Simplify right side
    82,714x = 5,557,565,274.48
  5. Step 5: Solve for x
    x = 5,557,565,274.48/82,714
  6. Step 6: Final answer
    x = 67,190.14

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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.