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Finding the Fourth Proportional to 182,117.10, 273,078.45 and 76,817.10

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Solution

The fourth proportional to 182,117.10, 273,078.45 and 76,817.10 is: 115,184.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,117.10 : 273,078.45 = 76,817.10 : x
  2. Step 2: Convert to fraction form
    182,117.10/273,078.45 = 76,817.10/x
  3. Step 3: Cross multiply
    182,117.10x = 273,078.45 × 76,817.10
  4. Step 4: Simplify right side
    182,117.10x = 20,977,094,601.50
  5. Step 5: Solve for x
    x = 20,977,094,601.50/182,117.10
  6. Step 6: Final answer
    x = 115,184.65

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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.