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Finding the Fourth Proportional to 64,508.40, 89,019 and 36,213.48

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Solution

The fourth proportional to 64,508.40, 89,019 and 36,213.48 is: 49,973.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,508.40 : 89,019 = 36,213.48 : x
  2. Step 2: Convert to fraction form
    64,508.40/89,019 = 36,213.48/x
  3. Step 3: Cross multiply
    64,508.40x = 89,019 × 36,213.48
  4. Step 4: Simplify right side
    64,508.40x = 3,223,687,776.12
  5. Step 5: Solve for x
    x = 3,223,687,776.12/64,508.40
  6. Step 6: Final answer
    x = 49,973.15

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1.5x scale

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.