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Finding the Fourth Proportional to 121,457, 182,185.50 and 38,351

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Solution

The fourth proportional to 121,457, 182,185.50 and 38,351 is: 57,526.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,457 : 182,185.50 = 38,351 : x
  2. Step 2: Convert to fraction form
    121,457/182,185.50 = 38,351/x
  3. Step 3: Cross multiply
    121,457x = 182,185.50 × 38,351
  4. Step 4: Simplify right side
    121,457x = 6,986,996,110.50
  5. Step 5: Solve for x
    x = 6,986,996,110.50/121,457
  6. Step 6: Final answer
    x = 57,526.50

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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.