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Finding the Fourth Proportional to 69,430.38, 104,006.12 and 31,938.32

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Solution

The fourth proportional to 69,430.38, 104,006.12 and 31,938.32 is: 47,843.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,430.38 : 104,006.12 = 31,938.32 : x
  2. Step 2: Convert to fraction form
    69,430.38/104,006.12 = 31,938.32/x
  3. Step 3: Cross multiply
    69,430.38x = 104,006.12 × 31,938.32
  4. Step 4: Simplify right side
    69,430.38x = 3,321,780,062.80
  5. Step 5: Solve for x
    x = 3,321,780,062.80/69,430.38
  6. Step 6: Final answer
    x = 47,843.32

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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.