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Finding the Fourth Proportional to 136,642, 205,068.84 and 94,815.76

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Solution

The fourth proportional to 136,642, 205,068.84 and 94,815.76 is: 142,297.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,642 : 205,068.84 = 94,815.76 : x
  2. Step 2: Convert to fraction form
    136,642/205,068.84 = 94,815.76/x
  3. Step 3: Cross multiply
    136,642x = 205,068.84 × 94,815.76
  4. Step 4: Simplify right side
    136,642x = 19,443,757,916.92
  5. Step 5: Solve for x
    x = 19,443,757,916.92/136,642
  6. Step 6: Final answer
    x = 142,297.08

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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.