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Finding the Fourth Proportional to 122,002.30, 183,310.65 and 77,650.30

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Solution

The fourth proportional to 122,002.30, 183,310.65 and 77,650.30 is: 116,670.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,002.30 : 183,310.65 = 77,650.30 : x
  2. Step 2: Convert to fraction form
    122,002.30/183,310.65 = 77,650.30/x
  3. Step 3: Cross multiply
    122,002.30x = 183,310.65 × 77,650.30
  4. Step 4: Simplify right side
    122,002.30x = 14,234,126,965.70
  5. Step 5: Solve for x
    x = 14,234,126,965.70/122,002.30
  6. Step 6: Final answer
    x = 116,670.97

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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.