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Finding the Fourth Proportional to 122,002.80, 183,311.40 and 77,650.80

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Solution

The fourth proportional to 122,002.80, 183,311.40 and 77,650.80 is: 116,671.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,002.80 : 183,311.40 = 77,650.80 : x
  2. Step 2: Convert to fraction form
    122,002.80/183,311.40 = 77,650.80/x
  3. Step 3: Cross multiply
    122,002.80x = 183,311.40 × 77,650.80
  4. Step 4: Simplify right side
    122,002.80x = 14,234,276,859.12
  5. Step 5: Solve for x
    x = 14,234,276,859.12/122,002.80
  6. Step 6: Final answer
    x = 116,671.72

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1.5x scale

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.