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Finding the Fourth Proportional to 56,256, 77,626.56 and 31,102.08

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Solution

The fourth proportional to 56,256, 77,626.56 and 31,102.08 is: 42,917.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,256 : 77,626.56 = 31,102.08 : x
  2. Step 2: Convert to fraction form
    56,256/77,626.56 = 31,102.08/x
  3. Step 3: Cross multiply
    56,256x = 77,626.56 × 31,102.08
  4. Step 4: Simplify right side
    56,256x = 2,414,347,479.24
  5. Step 5: Solve for x
    x = 2,414,347,479.24/56,256
  6. Step 6: Final answer
    x = 42,917.16

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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.