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Finding the Fourth Proportional to 122,276.80, 183,415.20 and 105,874.30

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Solution

The fourth proportional to 122,276.80, 183,415.20 and 105,874.30 is: 158,811.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,276.80 : 183,415.20 = 105,874.30 : x
  2. Step 2: Convert to fraction form
    122,276.80/183,415.20 = 105,874.30/x
  3. Step 3: Cross multiply
    122,276.80x = 183,415.20 × 105,874.30
  4. Step 4: Simplify right side
    122,276.80x = 19,418,955,909.36
  5. Step 5: Solve for x
    x = 19,418,955,909.36/122,276.80
  6. Step 6: Final answer
    x = 158,811.45

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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.