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Finding the Fourth Proportional to 118,701.70, 178,052.55 and 105,799.30

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Solution

The fourth proportional to 118,701.70, 178,052.55 and 105,799.30 is: 158,698.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,701.70 : 178,052.55 = 105,799.30 : x
  2. Step 2: Convert to fraction form
    118,701.70/178,052.55 = 105,799.30/x
  3. Step 3: Cross multiply
    118,701.70x = 178,052.55 × 105,799.30
  4. Step 4: Simplify right side
    118,701.70x = 18,837,835,153.22
  5. Step 5: Solve for x
    x = 18,837,835,153.22/118,701.70
  6. Step 6: Final answer
    x = 158,698.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.