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Finding the Fourth Proportional to 65,728.80, 98,463.60 and 39,355.20

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Solution

The fourth proportional to 65,728.80, 98,463.60 and 39,355.20 is: 58,955.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,728.80 : 98,463.60 = 39,355.20 : x
  2. Step 2: Convert to fraction form
    65,728.80/98,463.60 = 39,355.20/x
  3. Step 3: Cross multiply
    65,728.80x = 98,463.60 × 39,355.20
  4. Step 4: Simplify right side
    65,728.80x = 3,875,054,670.72
  5. Step 5: Solve for x
    x = 3,875,054,670.72/65,728.80
  6. Step 6: Final answer
    x = 58,955.20

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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.