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Finding the Fourth Proportional to 140,992.83, 194,582.58 and 77,343.03

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Solution

The fourth proportional to 140,992.83, 194,582.58 and 77,343.03 is: 106,740.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,992.83 : 194,582.58 = 77,343.03 : x
  2. Step 2: Convert to fraction form
    140,992.83/194,582.58 = 77,343.03/x
  3. Step 3: Cross multiply
    140,992.83x = 194,582.58 × 77,343.03
  4. Step 4: Simplify right side
    140,992.83x = 15,049,606,322.42
  5. Step 5: Solve for x
    x = 15,049,606,322.42/140,992.83
  6. Step 6: Final answer
    x = 106,740.22

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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.