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Finding the Fourth Proportional to 122,130.70, 183,390.45 and 82,861.90

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Solution

The fourth proportional to 122,130.70, 183,390.45 and 82,861.90 is: 124,424.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,130.70 : 183,390.45 = 82,861.90 : x
  2. Step 2: Convert to fraction form
    122,130.70/183,390.45 = 82,861.90/x
  3. Step 3: Cross multiply
    122,130.70x = 183,390.45 × 82,861.90
  4. Step 4: Simplify right side
    122,130.70x = 15,196,081,128.86
  5. Step 5: Solve for x
    x = 15,196,081,128.86/122,130.70
  6. Step 6: Final answer
    x = 124,424.74

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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.