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Finding the Fourth Proportional to 65,218.24, 90,039.36 and 47,296

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Solution

The fourth proportional to 65,218.24, 90,039.36 and 47,296 is: 65,296.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,218.24 : 90,039.36 = 47,296 : x
  2. Step 2: Convert to fraction form
    65,218.24/90,039.36 = 47,296/x
  3. Step 3: Cross multiply
    65,218.24x = 90,039.36 × 47,296
  4. Step 4: Simplify right side
    65,218.24x = 4,258,501,570.56
  5. Step 5: Solve for x
    x = 4,258,501,570.56/65,218.24
  6. Step 6: Final answer
    x = 65,296.17

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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.