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Finding the Fourth Proportional to 122,206.40, 183,309.60 and 102,523.40

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Solution

The fourth proportional to 122,206.40, 183,309.60 and 102,523.40 is: 153,785.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,206.40 : 183,309.60 = 102,523.40 : x
  2. Step 2: Convert to fraction form
    122,206.40/183,309.60 = 102,523.40/x
  3. Step 3: Cross multiply
    122,206.40x = 183,309.60 × 102,523.40
  4. Step 4: Simplify right side
    122,206.40x = 18,793,523,444.64
  5. Step 5: Solve for x
    x = 18,793,523,444.64/122,206.40
  6. Step 6: Final answer
    x = 153,785.10

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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.