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Finding the Fourth Proportional to 102,169.52, 140,982.90 and 56,840.30

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Solution

The fourth proportional to 102,169.52, 140,982.90 and 56,840.30 is: 78,433.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,169.52 : 140,982.90 = 56,840.30 : x
  2. Step 2: Convert to fraction form
    102,169.52/140,982.90 = 56,840.30/x
  3. Step 3: Cross multiply
    102,169.52x = 140,982.90 × 56,840.30
  4. Step 4: Simplify right side
    102,169.52x = 8,013,510,330.87
  5. Step 5: Solve for x
    x = 8,013,510,330.87/102,169.52
  6. Step 6: Final answer
    x = 78,433.47

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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.