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Finding the Fourth Proportional to 141,434, 195,178.96 and 77,776.16

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Solution

The fourth proportional to 141,434, 195,178.96 and 77,776.16 is: 107,331.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,434 : 195,178.96 = 77,776.16 : x
  2. Step 2: Convert to fraction form
    141,434/195,178.96 = 77,776.16/x
  3. Step 3: Cross multiply
    141,434x = 195,178.96 × 77,776.16
  4. Step 4: Simplify right side
    141,434x = 15,180,270,021.59
  5. Step 5: Solve for x
    x = 15,180,270,021.59/141,434
  6. Step 6: Final answer
    x = 107,331.12

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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.