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Finding the Fourth Proportional to 121,461, 182,191.50 and 38,355

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Solution

The fourth proportional to 121,461, 182,191.50 and 38,355 is: 57,532.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,461 : 182,191.50 = 38,355 : x
  2. Step 2: Convert to fraction form
    121,461/182,191.50 = 38,355/x
  3. Step 3: Cross multiply
    121,461x = 182,191.50 × 38,355
  4. Step 4: Simplify right side
    121,461x = 6,987,954,982.50
  5. Step 5: Solve for x
    x = 6,987,954,982.50/121,461
  6. Step 6: Final answer
    x = 57,532.50

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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.