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Finding the Fourth Proportional to 70,500, 105,752.88 and 17,910.84

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Solution

The fourth proportional to 70,500, 105,752.88 and 17,910.84 is: 26,866.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,500 : 105,752.88 = 17,910.84 : x
  2. Step 2: Convert to fraction form
    70,500/105,752.88 = 17,910.84/x
  3. Step 3: Cross multiply
    70,500x = 105,752.88 × 17,910.84
  4. Step 4: Simplify right side
    70,500x = 1,894,122,913.22
  5. Step 5: Solve for x
    x = 1,894,122,913.22/70,500
  6. Step 6: Final answer
    x = 26,866.99

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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.