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Finding the Fourth Proportional to 105,993, 159,062.40 and 43,663.50

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Solution

The fourth proportional to 105,993, 159,062.40 and 43,663.50 is: 65,525.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,993 : 159,062.40 = 43,663.50 : x
  2. Step 2: Convert to fraction form
    105,993/159,062.40 = 43,663.50/x
  3. Step 3: Cross multiply
    105,993x = 159,062.40 × 43,663.50
  4. Step 4: Simplify right side
    105,993x = 6,945,221,102.40
  5. Step 5: Solve for x
    x = 6,945,221,102.40/105,993
  6. Step 6: Final answer
    x = 65,525.28

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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.