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Finding the Fourth Proportional to 131,690.88, 181,736.19 and 77,956.29

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Solution

The fourth proportional to 131,690.88, 181,736.19 and 77,956.29 is: 107,581.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,690.88 : 181,736.19 = 77,956.29 : x
  2. Step 2: Convert to fraction form
    131,690.88/181,736.19 = 77,956.29/x
  3. Step 3: Cross multiply
    131,690.88x = 181,736.19 × 77,956.29
  4. Step 4: Simplify right side
    131,690.88x = 14,167,479,131.14
  5. Step 5: Solve for x
    x = 14,167,479,131.14/131,690.88
  6. Step 6: Final answer
    x = 107,581.32

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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.