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Finding the Fourth Proportional to 123,219.64, 169,929.31 and 77,818.60

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Solution

The fourth proportional to 123,219.64, 169,929.31 and 77,818.60 is: 107,317.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,219.64 : 169,929.31 = 77,818.60 : x
  2. Step 2: Convert to fraction form
    123,219.64/169,929.31 = 77,818.60/x
  3. Step 3: Cross multiply
    123,219.64x = 169,929.31 × 77,818.60
  4. Step 4: Simplify right side
    123,219.64x = 13,223,659,764.43
  5. Step 5: Solve for x
    x = 13,223,659,764.43/123,219.64
  6. Step 6: Final answer
    x = 107,317.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.