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Finding the Fourth Proportional to 123,618.20, 185,384.10 and 64,434.20

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Solution

The fourth proportional to 123,618.20, 185,384.10 and 64,434.20 is: 96,628.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,618.20 : 185,384.10 = 64,434.20 : x
  2. Step 2: Convert to fraction form
    123,618.20/185,384.10 = 64,434.20/x
  3. Step 3: Cross multiply
    123,618.20x = 185,384.10 × 64,434.20
  4. Step 4: Simplify right side
    123,618.20x = 11,945,076,176.22
  5. Step 5: Solve for x
    x = 11,945,076,176.22/123,618.20
  6. Step 6: Final answer
    x = 96,628.78

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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.