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Finding the Fourth Proportional to 55,285, 76,293.32 and 31,411.70

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Solution

The fourth proportional to 55,285, 76,293.32 and 31,411.70 is: 43,348.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,285 : 76,293.32 = 31,411.70 : x
  2. Step 2: Convert to fraction form
    55,285/76,293.32 = 31,411.70/x
  3. Step 3: Cross multiply
    55,285x = 76,293.32 × 31,411.70
  4. Step 4: Simplify right side
    55,285x = 2,396,502,879.84
  5. Step 5: Solve for x
    x = 2,396,502,879.84/55,285
  6. Step 6: Final answer
    x = 43,348.16

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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.