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Finding the Fourth Proportional to 65,009.40, 89,754.66 and 53,101.32

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Solution

The fourth proportional to 65,009.40, 89,754.66 and 53,101.32 is: 73,313.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,009.40 : 89,754.66 = 53,101.32 : x
  2. Step 2: Convert to fraction form
    65,009.40/89,754.66 = 53,101.32/x
  3. Step 3: Cross multiply
    65,009.40x = 89,754.66 × 53,101.32
  4. Step 4: Simplify right side
    65,009.40x = 4,766,090,922.15
  5. Step 5: Solve for x
    x = 4,766,090,922.15/65,009.40
  6. Step 6: Final answer
    x = 73,313.87

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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.