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Finding the Fourth Proportional to 107,072.58, 160,708.50 and 54,521.40

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Solution

The fourth proportional to 107,072.58, 160,708.50 and 54,521.40 is: 81,832.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,072.58 : 160,708.50 = 54,521.40 : x
  2. Step 2: Convert to fraction form
    107,072.58/160,708.50 = 54,521.40/x
  3. Step 3: Cross multiply
    107,072.58x = 160,708.50 × 54,521.40
  4. Step 4: Simplify right side
    107,072.58x = 8,762,052,411.90
  5. Step 5: Solve for x
    x = 8,762,052,411.90/107,072.58
  6. Step 6: Final answer
    x = 81,832.83

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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.