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Finding the Fourth Proportional to 134,678, 185,861.40 and 75,062

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Solution

The fourth proportional to 134,678, 185,861.40 and 75,062 is: 103,588.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,678 : 185,861.40 = 75,062 : x
  2. Step 2: Convert to fraction form
    134,678/185,861.40 = 75,062/x
  3. Step 3: Cross multiply
    134,678x = 185,861.40 × 75,062
  4. Step 4: Simplify right side
    134,678x = 13,951,128,406.80
  5. Step 5: Solve for x
    x = 13,951,128,406.80/134,678
  6. Step 6: Final answer
    x = 103,588.77

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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.