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Finding the Fourth Proportional to 100,039.76, 149,893.50 and 70,395.38

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Solution

The fourth proportional to 100,039.76, 149,893.50 and 70,395.38 is: 105,476.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,039.76 : 149,893.50 = 70,395.38 : x
  2. Step 2: Convert to fraction form
    100,039.76/149,893.50 = 70,395.38/x
  3. Step 3: Cross multiply
    100,039.76x = 149,893.50 × 70,395.38
  4. Step 4: Simplify right side
    100,039.76x = 10,551,809,892.03
  5. Step 5: Solve for x
    x = 10,551,809,892.03/100,039.76
  6. Step 6: Final answer
    x = 105,476.16

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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.