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Finding the Fourth Proportional to 141,643.42, 195,460.50 and 77,968.78

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Solution

The fourth proportional to 141,643.42, 195,460.50 and 77,968.78 is: 107,592.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,643.42 : 195,460.50 = 77,968.78 : x
  2. Step 2: Convert to fraction form
    141,643.42/195,460.50 = 77,968.78/x
  3. Step 3: Cross multiply
    141,643.42x = 195,460.50 × 77,968.78
  4. Step 4: Simplify right side
    141,643.42x = 15,239,816,723.19
  5. Step 5: Solve for x
    x = 15,239,816,723.19/141,643.42
  6. Step 6: Final answer
    x = 107,592.83

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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.