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Finding the Fourth Proportional to 53,608, 73,979.10 and 31,256.32

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Solution

The fourth proportional to 53,608, 73,979.10 and 31,256.32 is: 43,133.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,608 : 73,979.10 = 31,256.32 : x
  2. Step 2: Convert to fraction form
    53,608/73,979.10 = 31,256.32/x
  3. Step 3: Cross multiply
    53,608x = 73,979.10 × 31,256.32
  4. Step 4: Simplify right side
    53,608x = 2,312,314,422.91
  5. Step 5: Solve for x
    x = 2,312,314,422.91/53,608
  6. Step 6: Final answer
    x = 43,133.76

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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.