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Finding the Fourth Proportional to 122,101.80, 183,152.70 and 80,111.40

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Solution

The fourth proportional to 122,101.80, 183,152.70 and 80,111.40 is: 120,167.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,101.80 : 183,152.70 = 80,111.40 : x
  2. Step 2: Convert to fraction form
    122,101.80/183,152.70 = 80,111.40/x
  3. Step 3: Cross multiply
    122,101.80x = 183,152.70 × 80,111.40
  4. Step 4: Simplify right side
    122,101.80x = 14,672,619,210.78
  5. Step 5: Solve for x
    x = 14,672,619,210.78/122,101.80
  6. Step 6: Final answer
    x = 120,167.10

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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.