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Finding the Fourth Proportional to 72,693.40, 109,040.10 and 31,221.40

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Solution

The fourth proportional to 72,693.40, 109,040.10 and 31,221.40 is: 46,832.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,693.40 : 109,040.10 = 31,221.40 : x
  2. Step 2: Convert to fraction form
    72,693.40/109,040.10 = 31,221.40/x
  3. Step 3: Cross multiply
    72,693.40x = 109,040.10 × 31,221.40
  4. Step 4: Simplify right side
    72,693.40x = 3,404,384,578.14
  5. Step 5: Solve for x
    x = 3,404,384,578.14/72,693.40
  6. Step 6: Final answer
    x = 46,832.10

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1.5x scale

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.