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Finding the Fourth Proportional to 105,106.80, 157,429.80 and 91,282.80

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Solution

The fourth proportional to 105,106.80, 157,429.80 and 91,282.80 is: 136,724.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,106.80 : 157,429.80 = 91,282.80 : x
  2. Step 2: Convert to fraction form
    105,106.80/157,429.80 = 91,282.80/x
  3. Step 3: Cross multiply
    105,106.80x = 157,429.80 × 91,282.80
  4. Step 4: Simplify right side
    105,106.80x = 14,370,632,947.44
  5. Step 5: Solve for x
    x = 14,370,632,947.44/105,106.80
  6. Step 6: Final answer
    x = 136,724.10

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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.