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Finding the Fourth Proportional to 101,065.70, 151,409 and 84,531.98

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Solution

The fourth proportional to 101,065.70, 151,409 and 84,531.98 is: 126,639.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,065.70 : 151,409 = 84,531.98 : x
  2. Step 2: Convert to fraction form
    101,065.70/151,409 = 84,531.98/x
  3. Step 3: Cross multiply
    101,065.70x = 151,409 × 84,531.98
  4. Step 4: Simplify right side
    101,065.70x = 12,798,902,559.82
  5. Step 5: Solve for x
    x = 12,798,902,559.82/101,065.70
  6. Step 6: Final answer
    x = 126,639.43

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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.