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Finding the Fourth Proportional to 101,784.30, 140,463.11 and 55,843.63

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Solution

The fourth proportional to 101,784.30, 140,463.11 and 55,843.63 is: 77,064.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,784.30 : 140,463.11 = 55,843.63 : x
  2. Step 2: Convert to fraction form
    101,784.30/140,463.11 = 55,843.63/x
  3. Step 3: Cross multiply
    101,784.30x = 140,463.11 × 55,843.63
  4. Step 4: Simplify right side
    101,784.30x = 7,843,969,664.27
  5. Step 5: Solve for x
    x = 7,843,969,664.27/101,784.30
  6. Step 6: Final answer
    x = 77,064.64

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1.5x scale

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.