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Finding the Fourth Proportional to 84,901.20, 127,270.80 and 31,578.90

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Solution

The fourth proportional to 84,901.20, 127,270.80 and 31,578.90 is: 47,338.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,901.20 : 127,270.80 = 31,578.90 : x
  2. Step 2: Convert to fraction form
    84,901.20/127,270.80 = 31,578.90/x
  3. Step 3: Cross multiply
    84,901.20x = 127,270.80 × 31,578.90
  4. Step 4: Simplify right side
    84,901.20x = 4,019,071,866.12
  5. Step 5: Solve for x
    x = 4,019,071,866.12/84,901.20
  6. Step 6: Final answer
    x = 47,338.22

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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.