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Finding the Fourth Proportional to 66,765.47, 100,145.16 and 22,388.81

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Solution

The fourth proportional to 66,765.47, 100,145.16 and 22,388.81 is: 33,582.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,765.47 : 100,145.16 = 22,388.81 : x
  2. Step 2: Convert to fraction form
    66,765.47/100,145.16 = 22,388.81/x
  3. Step 3: Cross multiply
    66,765.47x = 100,145.16 × 22,388.81
  4. Step 4: Simplify right side
    66,765.47x = 2,242,130,458.93
  5. Step 5: Solve for x
    x = 2,242,130,458.93/66,765.47
  6. Step 6: Final answer
    x = 33,582.19

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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.