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Finding the Fourth Proportional to 105,539.92, 145,670.73 and 65,229.41

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Solution

The fourth proportional to 105,539.92, 145,670.73 and 65,229.41 is: 90,032.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,539.92 : 145,670.73 = 65,229.41 : x
  2. Step 2: Convert to fraction form
    105,539.92/145,670.73 = 65,229.41/x
  3. Step 3: Cross multiply
    105,539.92x = 145,670.73 × 65,229.41
  4. Step 4: Simplify right side
    105,539.92x = 9,502,015,772.17
  5. Step 5: Solve for x
    x = 9,502,015,772.17/105,539.92
  6. Step 6: Final answer
    x = 90,032.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.