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Finding the Fourth Proportional to 111,467.34, 153,754.20 and 75,719.07

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Solution

The fourth proportional to 111,467.34, 153,754.20 and 75,719.07 is: 104,444.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,467.34 : 153,754.20 = 75,719.07 : x
  2. Step 2: Convert to fraction form
    111,467.34/153,754.20 = 75,719.07/x
  3. Step 3: Cross multiply
    111,467.34x = 153,754.20 × 75,719.07
  4. Step 4: Simplify right side
    111,467.34x = 11,642,125,032.59
  5. Step 5: Solve for x
    x = 11,642,125,032.59/111,467.34
  6. Step 6: Final answer
    x = 104,444.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.