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Finding the Fourth Proportional to 101,089.20, 151,415.10 and 65,659.80

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Solution

The fourth proportional to 101,089.20, 151,415.10 and 65,659.80 is: 98,347.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,089.20 : 151,415.10 = 65,659.80 : x
  2. Step 2: Convert to fraction form
    101,089.20/151,415.10 = 65,659.80/x
  3. Step 3: Cross multiply
    101,089.20x = 151,415.10 × 65,659.80
  4. Step 4: Simplify right side
    101,089.20x = 9,941,885,182.98
  5. Step 5: Solve for x
    x = 9,941,885,182.98/101,089.20
  6. Step 6: Final answer
    x = 98,347.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.