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Finding the Fourth Proportional to 65,679.92, 98,533.71 and 21,303.21

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Solution

The fourth proportional to 65,679.92, 98,533.71 and 21,303.21 is: 31,959.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,679.92 : 98,533.71 = 21,303.21 : x
  2. Step 2: Convert to fraction form
    65,679.92/98,533.71 = 21,303.21/x
  3. Step 3: Cross multiply
    65,679.92x = 98,533.71 × 21,303.21
  4. Step 4: Simplify right side
    65,679.92x = 2,099,084,316.21
  5. Step 5: Solve for x
    x = 2,099,084,316.21/65,679.92
  6. Step 6: Final answer
    x = 31,959.30

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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.