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Finding the Fourth Proportional to 82,706.02, 114,160.31 and 48,712.21

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Solution

The fourth proportional to 82,706.02, 114,160.31 and 48,712.21 is: 67,238.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,706.02 : 114,160.31 = 48,712.21 : x
  2. Step 2: Convert to fraction form
    82,706.02/114,160.31 = 48,712.21/x
  3. Step 3: Cross multiply
    82,706.02x = 114,160.31 × 48,712.21
  4. Step 4: Simplify right side
    82,706.02x = 5,561,000,994.39
  5. Step 5: Solve for x
    x = 5,561,000,994.39/82,706.02
  6. Step 6: Final answer
    x = 67,238.16

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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.