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Finding the Fourth Proportional to 140,703.84, 194,162.40 and 77,042.40

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Solution

The fourth proportional to 140,703.84, 194,162.40 and 77,042.40 is: 106,313.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,703.84 : 194,162.40 = 77,042.40 : x
  2. Step 2: Convert to fraction form
    140,703.84/194,162.40 = 77,042.40/x
  3. Step 3: Cross multiply
    140,703.84x = 194,162.40 × 77,042.40
  4. Step 4: Simplify right side
    140,703.84x = 14,958,737,285.76
  5. Step 5: Solve for x
    x = 14,958,737,285.76/140,703.84
  6. Step 6: Final answer
    x = 106,313.64

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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.