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Finding the Fourth Proportional to 65,989.32, 98,983.98 and 21,616.30

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Solution

The fourth proportional to 65,989.32, 98,983.98 and 21,616.30 is: 32,424.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,989.32 : 98,983.98 = 21,616.30 : x
  2. Step 2: Convert to fraction form
    65,989.32/98,983.98 = 21,616.30/x
  3. Step 3: Cross multiply
    65,989.32x = 98,983.98 × 21,616.30
  4. Step 4: Simplify right side
    65,989.32x = 2,139,667,406.87
  5. Step 5: Solve for x
    x = 2,139,667,406.87/65,989.32
  6. Step 6: Final answer
    x = 32,424.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.