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Finding the Fourth Proportional to 61,772, 85,254.51 and 39,113.10

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Solution

The fourth proportional to 61,772, 85,254.51 and 39,113.10 is: 53,981.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,772 : 85,254.51 = 39,113.10 : x
  2. Step 2: Convert to fraction form
    61,772/85,254.51 = 39,113.10/x
  3. Step 3: Cross multiply
    61,772x = 85,254.51 × 39,113.10
  4. Step 4: Simplify right side
    61,772x = 3,334,568,175.08
  5. Step 5: Solve for x
    x = 3,334,568,175.08/61,772
  6. Step 6: Final answer
    x = 53,981.87

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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.