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Finding the Fourth Proportional to 136,929.60, 205,005.60 and 105,566.40

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Solution

The fourth proportional to 136,929.60, 205,005.60 and 105,566.40 is: 158,049.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,929.60 : 205,005.60 = 105,566.40 : x
  2. Step 2: Convert to fraction form
    136,929.60/205,005.60 = 105,566.40/x
  3. Step 3: Cross multiply
    136,929.60x = 205,005.60 × 105,566.40
  4. Step 4: Simplify right side
    136,929.60x = 21,641,703,171.84
  5. Step 5: Solve for x
    x = 21,641,703,171.84/136,929.60
  6. Step 6: Final answer
    x = 158,049.85

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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.