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Finding the Fourth Proportional to 84,818.76, 127,208.70 and 38,085

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Solution

The fourth proportional to 84,818.76, 127,208.70 and 38,085 is: 57,118.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,818.76 : 127,208.70 = 38,085 : x
  2. Step 2: Convert to fraction form
    84,818.76/127,208.70 = 38,085/x
  3. Step 3: Cross multiply
    84,818.76x = 127,208.70 × 38,085
  4. Step 4: Simplify right side
    84,818.76x = 4,844,743,339.50
  5. Step 5: Solve for x
    x = 4,844,743,339.50/84,818.76
  6. Step 6: Final answer
    x = 57,118.77

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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.