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Finding the Fourth Proportional to 136,859.76, 205,295.40 and 66,798

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Solution

The fourth proportional to 136,859.76, 205,295.40 and 66,798 is: 100,199.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,859.76 : 205,295.40 = 66,798 : x
  2. Step 2: Convert to fraction form
    136,859.76/205,295.40 = 66,798/x
  3. Step 3: Cross multiply
    136,859.76x = 205,295.40 × 66,798
  4. Step 4: Simplify right side
    136,859.76x = 13,713,322,129.20
  5. Step 5: Solve for x
    x = 13,713,322,129.20/136,859.76
  6. Step 6: Final answer
    x = 100,199.81

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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.