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Finding the Fourth Proportional to 141,399.65, 195,132.02 and 77,741.48

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Solution

The fourth proportional to 141,399.65, 195,132.02 and 77,741.48 is: 107,283.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,399.65 : 195,132.02 = 77,741.48 : x
  2. Step 2: Convert to fraction form
    141,399.65/195,132.02 = 77,741.48/x
  3. Step 3: Cross multiply
    141,399.65x = 195,132.02 × 77,741.48
  4. Step 4: Simplify right side
    141,399.65x = 15,169,850,665.82
  5. Step 5: Solve for x
    x = 15,169,850,665.82/141,399.65
  6. Step 6: Final answer
    x = 107,283.51

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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.