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Finding the Fourth Proportional to 71,297.64, 98,389.55 and 39,465.86

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Solution

The fourth proportional to 71,297.64, 98,389.55 and 39,465.86 is: 54,462.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,297.64 : 98,389.55 = 39,465.86 : x
  2. Step 2: Convert to fraction form
    71,297.64/98,389.55 = 39,465.86/x
  3. Step 3: Cross multiply
    71,297.64x = 98,389.55 × 39,465.86
  4. Step 4: Simplify right side
    71,297.64x = 3,883,028,205.76
  5. Step 5: Solve for x
    x = 3,883,028,205.76/71,297.64
  6. Step 6: Final answer
    x = 54,462.23

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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.