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Finding the Fourth Proportional to 61,734, 85,212.36 and 39,378

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Solution

The fourth proportional to 61,734, 85,212.36 and 39,378 is: 54,354.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,734 : 85,212.36 = 39,378 : x
  2. Step 2: Convert to fraction form
    61,734/85,212.36 = 39,378/x
  3. Step 3: Cross multiply
    61,734x = 85,212.36 × 39,378
  4. Step 4: Simplify right side
    61,734x = 3,355,492,312.08
  5. Step 5: Solve for x
    x = 3,355,492,312.08/61,734
  6. Step 6: Final answer
    x = 54,354.04

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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.