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Finding the Fourth Proportional to 65,442.40, 98,142 and 21,058.54

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Solution

The fourth proportional to 65,442.40, 98,142 and 21,058.54 is: 31,580.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,442.40 : 98,142 = 21,058.54 : x
  2. Step 2: Convert to fraction form
    65,442.40/98,142 = 21,058.54/x
  3. Step 3: Cross multiply
    65,442.40x = 98,142 × 21,058.54
  4. Step 4: Simplify right side
    65,442.40x = 2,066,727,232.68
  5. Step 5: Solve for x
    x = 2,066,727,232.68/65,442.40
  6. Step 6: Final answer
    x = 31,580.86

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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.