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Finding the Fourth Proportional to 169,830.32, 254,357 and 81,146.16

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Solution

The fourth proportional to 169,830.32, 254,357 and 81,146.16 is: 121,533.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,830.32 : 254,357 = 81,146.16 : x
  2. Step 2: Convert to fraction form
    169,830.32/254,357 = 81,146.16/x
  3. Step 3: Cross multiply
    169,830.32x = 254,357 × 81,146.16
  4. Step 4: Simplify right side
    169,830.32x = 20,640,093,819.12
  5. Step 5: Solve for x
    x = 20,640,093,819.12/169,830.32
  6. Step 6: Final answer
    x = 121,533.62

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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.