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Finding the Fourth Proportional to 100,509.70, 138,693.56 and 58,067.32

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Solution

The fourth proportional to 100,509.70, 138,693.56 and 58,067.32 is: 80,127.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,509.70 : 138,693.56 = 58,067.32 : x
  2. Step 2: Convert to fraction form
    100,509.70/138,693.56 = 58,067.32/x
  3. Step 3: Cross multiply
    100,509.70x = 138,693.56 × 58,067.32
  4. Step 4: Simplify right side
    100,509.70x = 8,053,563,330.46
  5. Step 5: Solve for x
    x = 8,053,563,330.46/100,509.70
  6. Step 6: Final answer
    x = 80,127.22

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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.