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Finding the Fourth Proportional to 101,116.33, 151,652.95 and 30,019.69

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Solution

The fourth proportional to 101,116.33, 151,652.95 and 30,019.69 is: 45,023.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,116.33 : 151,652.95 = 30,019.69 : x
  2. Step 2: Convert to fraction form
    101,116.33/151,652.95 = 30,019.69/x
  3. Step 3: Cross multiply
    101,116.33x = 151,652.95 × 30,019.69
  4. Step 4: Simplify right side
    101,116.33x = 4,552,574,396.49
  5. Step 5: Solve for x
    x = 4,552,574,396.49/101,116.33
  6. Step 6: Final answer
    x = 45,023.14

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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.