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Finding the Fourth Proportional to 101,403.13, 152,102.97 and 30,325.93

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Solution

The fourth proportional to 101,403.13, 152,102.97 and 30,325.93 is: 45,488.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,403.13 : 152,102.97 = 30,325.93 : x
  2. Step 2: Convert to fraction form
    101,403.13/152,102.97 = 30,325.93/x
  3. Step 3: Cross multiply
    101,403.13x = 152,102.97 × 30,325.93
  4. Step 4: Simplify right side
    101,403.13x = 4,612,664,021.01
  5. Step 5: Solve for x
    x = 4,612,664,021.01/101,403.13
  6. Step 6: Final answer
    x = 45,488.38

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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.