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Finding the Fourth Proportional to 122,277.30, 183,415.95 and 105,874.80

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Solution

The fourth proportional to 122,277.30, 183,415.95 and 105,874.80 is: 158,812.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,277.30 : 183,415.95 = 105,874.80 : x
  2. Step 2: Convert to fraction form
    122,277.30/183,415.95 = 105,874.80/x
  3. Step 3: Cross multiply
    122,277.30x = 183,415.95 × 105,874.80
  4. Step 4: Simplify right side
    122,277.30x = 19,419,127,023.06
  5. Step 5: Solve for x
    x = 19,419,127,023.06/122,277.30
  6. Step 6: Final answer
    x = 158,812.20

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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.