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Finding the Fourth Proportional to 136,838.40, 205,411.20 and 105,811.20

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Solution

The fourth proportional to 136,838.40, 205,411.20 and 105,811.20 is: 158,835.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,838.40 : 205,411.20 = 105,811.20 : x
  2. Step 2: Convert to fraction form
    136,838.40/205,411.20 = 105,811.20/x
  3. Step 3: Cross multiply
    136,838.40x = 205,411.20 × 105,811.20
  4. Step 4: Simplify right side
    136,838.40x = 21,734,805,565.44
  5. Step 5: Solve for x
    x = 21,734,805,565.44/136,838.40
  6. Step 6: Final answer
    x = 158,835.57

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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.