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Finding the Fourth Proportional to 99,710.36, 149,462.94 and 43,539.97

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Solution

The fourth proportional to 99,710.36, 149,462.94 and 43,539.97 is: 65,265.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,710.36 : 149,462.94 = 43,539.97 : x
  2. Step 2: Convert to fraction form
    99,710.36/149,462.94 = 43,539.97/x
  3. Step 3: Cross multiply
    99,710.36x = 149,462.94 × 43,539.97
  4. Step 4: Simplify right side
    99,710.36x = 6,507,611,923.71
  5. Step 5: Solve for x
    x = 6,507,611,923.71/99,710.36
  6. Step 6: Final answer
    x = 65,265.15

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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.