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Finding the Fourth Proportional to 61,904, 85,429.04 and 38,017.12

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Solution

The fourth proportional to 61,904, 85,429.04 and 38,017.12 is: 52,464.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,904 : 85,429.04 = 38,017.12 : x
  2. Step 2: Convert to fraction form
    61,904/85,429.04 = 38,017.12/x
  3. Step 3: Cross multiply
    61,904x = 85,429.04 × 38,017.12
  4. Step 4: Simplify right side
    61,904x = 3,247,766,065.16
  5. Step 5: Solve for x
    x = 3,247,766,065.16/61,904
  6. Step 6: Final answer
    x = 52,464.56

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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.