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Finding the Fourth Proportional to 122,685.80, 183,133.35 and 105,267.56

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Solution

The fourth proportional to 122,685.80, 183,133.35 and 105,267.56 is: 157,133.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,685.80 : 183,133.35 = 105,267.56 : x
  2. Step 2: Convert to fraction form
    122,685.80/183,133.35 = 105,267.56/x
  3. Step 3: Cross multiply
    122,685.80x = 183,133.35 × 105,267.56
  4. Step 4: Simplify right side
    122,685.80x = 19,278,000,909.13
  5. Step 5: Solve for x
    x = 19,278,000,909.13/122,685.80
  6. Step 6: Final answer
    x = 157,133.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.