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Finding the Fourth Proportional to 65,641.83, 98,442.09 and 21,258.33

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Solution

The fourth proportional to 65,641.83, 98,442.09 and 21,258.33 is: 31,880.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,641.83 : 98,442.09 = 21,258.33 : x
  2. Step 2: Convert to fraction form
    65,641.83/98,442.09 = 21,258.33/x
  3. Step 3: Cross multiply
    65,641.83x = 98,442.09 × 21,258.33
  4. Step 4: Simplify right side
    65,641.83x = 2,092,714,435.11
  5. Step 5: Solve for x
    x = 2,092,714,435.11/65,641.83
  6. Step 6: Final answer
    x = 31,880.81

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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.