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Finding the Fourth Proportional to 85,153, 127,731.66 and 29,749

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Solution

The fourth proportional to 85,153, 127,731.66 and 29,749 is: 44,624.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,153 : 127,731.66 = 29,749 : x
  2. Step 2: Convert to fraction form
    85,153/127,731.66 = 29,749/x
  3. Step 3: Cross multiply
    85,153x = 127,731.66 × 29,749
  4. Step 4: Simplify right side
    85,153x = 3,799,889,153.34
  5. Step 5: Solve for x
    x = 3,799,889,153.34/85,153
  6. Step 6: Final answer
    x = 44,624.25

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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.