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Finding the Fourth Proportional to 100,114.90, 150,128.07 and 29,981.14

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Solution

The fourth proportional to 100,114.90, 150,128.07 and 29,981.14 is: 44,958.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,114.90 : 150,128.07 = 29,981.14 : x
  2. Step 2: Convert to fraction form
    100,114.90/150,128.07 = 29,981.14/x
  3. Step 3: Cross multiply
    100,114.90x = 150,128.07 × 29,981.14
  4. Step 4: Simplify right side
    100,114.90x = 4,501,010,684.60
  5. Step 5: Solve for x
    x = 4,501,010,684.60/100,114.90
  6. Step 6: Final answer
    x = 44,958.45

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1.5x scale

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.