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Finding the Fourth Proportional to 53,612, 73,984.62 and 31,260.32

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Solution

The fourth proportional to 53,612, 73,984.62 and 31,260.32 is: 43,139.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,612 : 73,984.62 = 31,260.32 : x
  2. Step 2: Convert to fraction form
    53,612/73,984.62 = 31,260.32/x
  3. Step 3: Cross multiply
    53,612x = 73,984.62 × 31,260.32
  4. Step 4: Simplify right side
    53,612x = 2,312,782,896.28
  5. Step 5: Solve for x
    x = 2,312,782,896.28/53,612
  6. Step 6: Final answer
    x = 43,139.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.