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Finding the Fourth Proportional to 181,455, 250,407.90 and 101,967

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Solution

The fourth proportional to 181,455, 250,407.90 and 101,967 is: 140,714.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,455 : 250,407.90 = 101,967 : x
  2. Step 2: Convert to fraction form
    181,455/250,407.90 = 101,967/x
  3. Step 3: Cross multiply
    181,455x = 250,407.90 × 101,967
  4. Step 4: Simplify right side
    181,455x = 25,533,342,339.30
  5. Step 5: Solve for x
    x = 25,533,342,339.30/181,455
  6. Step 6: Final answer
    x = 140,714.46

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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.