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Finding the Fourth Proportional to 84,906.70, 127,279.05 and 31,584.40

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Solution

The fourth proportional to 84,906.70, 127,279.05 and 31,584.40 is: 47,346.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,906.70 : 127,279.05 = 31,584.40 : x
  2. Step 2: Convert to fraction form
    84,906.70/127,279.05 = 31,584.40/x
  3. Step 3: Cross multiply
    84,906.70x = 127,279.05 × 31,584.40
  4. Step 4: Simplify right side
    84,906.70x = 4,020,032,426.82
  5. Step 5: Solve for x
    x = 4,020,032,426.82/84,906.70
  6. Step 6: Final answer
    x = 47,346.47

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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.