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Finding the Fourth Proportional to 101,431.40, 152,150.70 and 31,310.60

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Solution

The fourth proportional to 101,431.40, 152,150.70 and 31,310.60 is: 46,967.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,431.40 : 152,150.70 = 31,310.60 : x
  2. Step 2: Convert to fraction form
    101,431.40/152,150.70 = 31,310.60/x
  3. Step 3: Cross multiply
    101,431.40x = 152,150.70 × 31,310.60
  4. Step 4: Simplify right side
    101,431.40x = 4,763,929,707.42
  5. Step 5: Solve for x
    x = 4,763,929,707.42/101,431.40
  6. Step 6: Final answer
    x = 46,967.01

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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.