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Finding the Fourth Proportional to 140,250, 193,542.26 and 76,588.32

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Solution

The fourth proportional to 140,250, 193,542.26 and 76,588.32 is: 105,690.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,250 : 193,542.26 = 76,588.32 : x
  2. Step 2: Convert to fraction form
    140,250/193,542.26 = 76,588.32/x
  3. Step 3: Cross multiply
    140,250x = 193,542.26 × 76,588.32
  4. Step 4: Simplify right side
    140,250x = 14,823,076,542.40
  5. Step 5: Solve for x
    x = 14,823,076,542.40/140,250
  6. Step 6: Final answer
    x = 105,690.39

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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.