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Finding the Fourth Proportional to 136,878.88, 205,318.35 and 51,505.81

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Solution

The fourth proportional to 136,878.88, 205,318.35 and 51,505.81 is: 77,258.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,878.88 : 205,318.35 = 51,505.81 : x
  2. Step 2: Convert to fraction form
    136,878.88/205,318.35 = 51,505.81/x
  3. Step 3: Cross multiply
    136,878.88x = 205,318.35 × 51,505.81
  4. Step 4: Simplify right side
    136,878.88x = 10,575,087,924.61
  5. Step 5: Solve for x
    x = 10,575,087,924.61/136,878.88
  6. Step 6: Final answer
    x = 77,258.73

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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.