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Finding the Fourth Proportional to 106,955.58, 147,698.72 and 68,781.42

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Solution

The fourth proportional to 106,955.58, 147,698.72 and 68,781.42 is: 94,982.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,955.58 : 147,698.72 = 68,781.42 : x
  2. Step 2: Convert to fraction form
    106,955.58/147,698.72 = 68,781.42/x
  3. Step 3: Cross multiply
    106,955.58x = 147,698.72 × 68,781.42
  4. Step 4: Simplify right side
    106,955.58x = 10,158,927,349.88
  5. Step 5: Solve for x
    x = 10,158,927,349.88/106,955.58
  6. Step 6: Final answer
    x = 94,982.68

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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.