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Finding the Fourth Proportional to 65,007, 89,709.66 and 35,199

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Solution

The fourth proportional to 65,007, 89,709.66 and 35,199 is: 48,574.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,007 : 89,709.66 = 35,199 : x
  2. Step 2: Convert to fraction form
    65,007/89,709.66 = 35,199/x
  3. Step 3: Cross multiply
    65,007x = 89,709.66 × 35,199
  4. Step 4: Simplify right side
    65,007x = 3,157,690,322.34
  5. Step 5: Solve for x
    x = 3,157,690,322.34/65,007
  6. Step 6: Final answer
    x = 48,574.62

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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.