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Finding the Fourth Proportional to 85,722.35, 128,604.06 and 35,774.66

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Solution

The fourth proportional to 85,722.35, 128,604.06 and 35,774.66 is: 53,670.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,722.35 : 128,604.06 = 35,774.66 : x
  2. Step 2: Convert to fraction form
    85,722.35/128,604.06 = 35,774.66/x
  3. Step 3: Cross multiply
    85,722.35x = 128,604.06 × 35,774.66
  4. Step 4: Simplify right side
    85,722.35x = 4,600,766,663.76
  5. Step 5: Solve for x
    x = 4,600,766,663.76/85,722.35
  6. Step 6: Final answer
    x = 53,670.56

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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.