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Finding the Fourth Proportional to 85,323, 127,984.56 and 29,919

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Solution

The fourth proportional to 85,323, 127,984.56 and 29,919 is: 44,878.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,323 : 127,984.56 = 29,919 : x
  2. Step 2: Convert to fraction form
    85,323/127,984.56 = 29,919/x
  3. Step 3: Cross multiply
    85,323x = 127,984.56 × 29,919
  4. Step 4: Simplify right side
    85,323x = 3,829,170,050.64
  5. Step 5: Solve for x
    x = 3,829,170,050.64/85,323
  6. Step 6: Final answer
    x = 44,878.52

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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.