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Finding the Fourth Proportional to 140,881.56, 194,477.40 and 84,282

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Solution

The fourth proportional to 140,881.56, 194,477.40 and 84,282 is: 116,345.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,881.56 : 194,477.40 = 84,282 : x
  2. Step 2: Convert to fraction form
    140,881.56/194,477.40 = 84,282/x
  3. Step 3: Cross multiply
    140,881.56x = 194,477.40 × 84,282
  4. Step 4: Simplify right side
    140,881.56x = 16,390,944,226.80
  5. Step 5: Solve for x
    x = 16,390,944,226.80/140,881.56
  6. Step 6: Final answer
    x = 116,345.56

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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.