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Finding the Fourth Proportional to 140,646.43, 194,093.29 and 83,288.93

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Solution

The fourth proportional to 140,646.43, 194,093.29 and 83,288.93 is: 114,939.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,646.43 : 194,093.29 = 83,288.93 : x
  2. Step 2: Convert to fraction form
    140,646.43/194,093.29 = 83,288.93/x
  3. Step 3: Cross multiply
    140,646.43x = 194,093.29 × 83,288.93
  4. Step 4: Simplify right side
    140,646.43x = 16,165,822,981.34
  5. Step 5: Solve for x
    x = 16,165,822,981.34/140,646.43
  6. Step 6: Final answer
    x = 114,939.45

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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.