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Finding the Fourth Proportional to 101,739.82, 151,990.85 and 65,909.46

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Solution

The fourth proportional to 101,739.82, 151,990.85 and 65,909.46 is: 98,463.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,739.82 : 151,990.85 = 65,909.46 : x
  2. Step 2: Convert to fraction form
    101,739.82/151,990.85 = 65,909.46/x
  3. Step 3: Cross multiply
    101,739.82x = 151,990.85 × 65,909.46
  4. Step 4: Simplify right side
    101,739.82x = 10,017,634,848.44
  5. Step 5: Solve for x
    x = 10,017,634,848.44/101,739.82
  6. Step 6: Final answer
    x = 98,463.26

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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.