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Finding the Fourth Proportional to 84,821.80, 127,232.70 and 77,045.80

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Solution

The fourth proportional to 84,821.80, 127,232.70 and 77,045.80 is: 115,568.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,821.80 : 127,232.70 = 77,045.80 : x
  2. Step 2: Convert to fraction form
    84,821.80/127,232.70 = 77,045.80/x
  3. Step 3: Cross multiply
    84,821.80x = 127,232.70 × 77,045.80
  4. Step 4: Simplify right side
    84,821.80x = 9,802,745,157.66
  5. Step 5: Solve for x
    x = 9,802,745,157.66/84,821.80
  6. Step 6: Final answer
    x = 115,568.70

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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.