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Finding the Fourth Proportional to 100,052.10, 149,750.10 and 77,744.70

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Solution

The fourth proportional to 100,052.10, 149,750.10 and 77,744.70 is: 116,362.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,052.10 : 149,750.10 = 77,744.70 : x
  2. Step 2: Convert to fraction form
    100,052.10/149,750.10 = 77,744.70/x
  3. Step 3: Cross multiply
    100,052.10x = 149,750.10 × 77,744.70
  4. Step 4: Simplify right side
    100,052.10x = 11,642,276,599.47
  5. Step 5: Solve for x
    x = 11,642,276,599.47/100,052.10
  6. Step 6: Final answer
    x = 116,362.14

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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.