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Finding the Fourth Proportional to 101,739.64, 140,393.10 and 57,019

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Solution

The fourth proportional to 101,739.64, 140,393.10 and 57,019 is: 78,681.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,739.64 : 140,393.10 = 57,019 : x
  2. Step 2: Convert to fraction form
    101,739.64/140,393.10 = 57,019/x
  3. Step 3: Cross multiply
    101,739.64x = 140,393.10 × 57,019
  4. Step 4: Simplify right side
    101,739.64x = 8,005,074,168.90
  5. Step 5: Solve for x
    x = 8,005,074,168.90/101,739.64
  6. Step 6: Final answer
    x = 78,681.96

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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.