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Finding the Fourth Proportional to 141,441.77, 195,191.03 and 77,780

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Solution

The fourth proportional to 141,441.77, 195,191.03 and 77,780 is: 107,337.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,441.77 : 195,191.03 = 77,780 : x
  2. Step 2: Convert to fraction form
    141,441.77/195,191.03 = 77,780/x
  3. Step 3: Cross multiply
    141,441.77x = 195,191.03 × 77,780
  4. Step 4: Simplify right side
    141,441.77x = 15,181,957,924.50
  5. Step 5: Solve for x
    x = 15,181,957,924.50/141,441.77
  6. Step 6: Final answer
    x = 107,337.16

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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.