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Finding the Fourth Proportional to 141,991.65, 195,942.51 and 78,328.08

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Solution

The fourth proportional to 141,991.65, 195,942.51 and 78,328.08 is: 108,089.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,991.65 : 195,942.51 = 78,328.08 : x
  2. Step 2: Convert to fraction form
    141,991.65/195,942.51 = 78,328.08/x
  3. Step 3: Cross multiply
    141,991.65x = 195,942.51 × 78,328.08
  4. Step 4: Simplify right side
    141,991.65x = 15,347,800,598.68
  5. Step 5: Solve for x
    x = 15,347,800,598.68/141,991.65
  6. Step 6: Final answer
    x = 108,089.46

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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.