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Finding the Fourth Proportional to 100,020.09, 149,926.46 and 47,389.53

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Solution

The fourth proportional to 100,020.09, 149,926.46 and 47,389.53 is: 71,035.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,020.09 : 149,926.46 = 47,389.53 : x
  2. Step 2: Convert to fraction form
    100,020.09/149,926.46 = 47,389.53/x
  3. Step 3: Cross multiply
    100,020.09x = 149,926.46 × 47,389.53
  4. Step 4: Simplify right side
    100,020.09x = 7,104,944,237.02
  5. Step 5: Solve for x
    x = 7,104,944,237.02/100,020.09
  6. Step 6: Final answer
    x = 71,035.17

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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.