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Finding the Fourth Proportional to 101,478, 152,174.12 and 30,410.74

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Solution

The fourth proportional to 101,478, 152,174.12 and 30,410.74 is: 45,603.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,478 : 152,174.12 = 30,410.74 : x
  2. Step 2: Convert to fraction form
    101,478/152,174.12 = 30,410.74/x
  3. Step 3: Cross multiply
    101,478x = 152,174.12 × 30,410.74
  4. Step 4: Simplify right side
    101,478x = 4,627,727,598.05
  5. Step 5: Solve for x
    x = 4,627,727,598.05/101,478
  6. Step 6: Final answer
    x = 45,603.26

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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.