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Finding the Fourth Proportional to 65,396.48, 98,058.88 and 30,316.80

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Solution

The fourth proportional to 65,396.48, 98,058.88 and 30,316.80 is: 45,458.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,396.48 : 98,058.88 = 30,316.80 : x
  2. Step 2: Convert to fraction form
    65,396.48/98,058.88 = 30,316.80/x
  3. Step 3: Cross multiply
    65,396.48x = 98,058.88 × 30,316.80
  4. Step 4: Simplify right side
    65,396.48x = 2,972,831,453.18
  5. Step 5: Solve for x
    x = 2,972,831,453.18/65,396.48
  6. Step 6: Final answer
    x = 45,458.59

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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.