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Finding the Fourth Proportional to 64,811, 89,439.18 and 35,003

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Solution

The fourth proportional to 64,811, 89,439.18 and 35,003 is: 48,304.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,811 : 89,439.18 = 35,003 : x
  2. Step 2: Convert to fraction form
    64,811/89,439.18 = 35,003/x
  3. Step 3: Cross multiply
    64,811x = 89,439.18 × 35,003
  4. Step 4: Simplify right side
    64,811x = 3,130,639,617.54
  5. Step 5: Solve for x
    x = 3,130,639,617.54/64,811
  6. Step 6: Final answer
    x = 48,304.14

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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.