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Finding the Fourth Proportional to 100,703.70, 151,045.76 and 30,583.62

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Solution

The fourth proportional to 100,703.70, 151,045.76 and 30,583.62 is: 45,872.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,703.70 : 151,045.76 = 30,583.62 : x
  2. Step 2: Convert to fraction form
    100,703.70/151,045.76 = 30,583.62/x
  3. Step 3: Cross multiply
    100,703.70x = 151,045.76 × 30,583.62
  4. Step 4: Simplify right side
    100,703.70x = 4,619,526,126.45
  5. Step 5: Solve for x
    x = 4,619,526,126.45/100,703.70
  6. Step 6: Final answer
    x = 45,872.46

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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.