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Finding the Fourth Proportional to 64,643.85, 89,219.12 and 37,781.11

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Solution

The fourth proportional to 64,643.85, 89,219.12 and 37,781.11 is: 52,144.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,643.85 : 89,219.12 = 37,781.11 : x
  2. Step 2: Convert to fraction form
    64,643.85/89,219.12 = 37,781.11/x
  3. Step 3: Cross multiply
    64,643.85x = 89,219.12 × 37,781.11
  4. Step 4: Simplify right side
    64,643.85x = 3,370,797,271.03
  5. Step 5: Solve for x
    x = 3,370,797,271.03/64,643.85
  6. Step 6: Final answer
    x = 52,144.13

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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.