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Finding the Fourth Proportional to 146,961, 219,221.51 and 142,041.30

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Solution

The fourth proportional to 146,961, 219,221.51 and 142,041.30 is: 211,882.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,961 : 219,221.51 = 142,041.30 : x
  2. Step 2: Convert to fraction form
    146,961/219,221.51 = 142,041.30/x
  3. Step 3: Cross multiply
    146,961x = 219,221.51 × 142,041.30
  4. Step 4: Simplify right side
    146,961x = 31,138,508,268.36
  5. Step 5: Solve for x
    x = 31,138,508,268.36/146,961
  6. Step 6: Final answer
    x = 211,882.80

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.