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Finding the Fourth Proportional to 190,575, 285,862.50 and 79,767

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Solution

The fourth proportional to 190,575, 285,862.50 and 79,767 is: 119,650.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,575 : 285,862.50 = 79,767 : x
  2. Step 2: Convert to fraction form
    190,575/285,862.50 = 79,767/x
  3. Step 3: Cross multiply
    190,575x = 285,862.50 × 79,767
  4. Step 4: Simplify right side
    190,575x = 22,802,394,037.50
  5. Step 5: Solve for x
    x = 22,802,394,037.50/190,575
  6. Step 6: Final answer
    x = 119,650.50

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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.