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Finding the Fourth Proportional to 199,307.52, 298,823.04 and 105,878.88

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Solution

The fourth proportional to 199,307.52, 298,823.04 and 105,878.88 is: 158,744.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,307.52 : 298,823.04 = 105,878.88 : x
  2. Step 2: Convert to fraction form
    199,307.52/298,823.04 = 105,878.88/x
  3. Step 3: Cross multiply
    199,307.52x = 298,823.04 × 105,878.88
  4. Step 4: Simplify right side
    199,307.52x = 31,639,048,793.40
  5. Step 5: Solve for x
    x = 31,639,048,793.40/199,307.52
  6. Step 6: Final answer
    x = 158,744.88

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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.