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Finding the Fourth Proportional to 102,092.50, 140,887.65 and 57,380.50

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Solution

The fourth proportional to 102,092.50, 140,887.65 and 57,380.50 is: 79,185.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,092.50 : 140,887.65 = 57,380.50 : x
  2. Step 2: Convert to fraction form
    102,092.50/140,887.65 = 57,380.50/x
  3. Step 3: Cross multiply
    102,092.50x = 140,887.65 × 57,380.50
  4. Step 4: Simplify right side
    102,092.50x = 8,084,203,800.83
  5. Step 5: Solve for x
    x = 8,084,203,800.83/102,092.50
  6. Step 6: Final answer
    x = 79,185.09

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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.