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Finding the Fourth Proportional to 122,710.44, 183,954.94 and 85,288.14

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Solution

The fourth proportional to 122,710.44, 183,954.94 and 85,288.14 is: 127,855.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,710.44 : 183,954.94 = 85,288.14 : x
  2. Step 2: Convert to fraction form
    122,710.44/183,954.94 = 85,288.14/x
  3. Step 3: Cross multiply
    122,710.44x = 183,954.94 × 85,288.14
  4. Step 4: Simplify right side
    122,710.44x = 15,689,174,463.19
  5. Step 5: Solve for x
    x = 15,689,174,463.19/122,710.44
  6. Step 6: Final answer
    x = 127,855.25

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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.