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Finding the Fourth Proportional to 121,455, 182,182.50 and 38,349

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Solution

The fourth proportional to 121,455, 182,182.50 and 38,349 is: 57,523.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,455 : 182,182.50 = 38,349 : x
  2. Step 2: Convert to fraction form
    121,455/182,182.50 = 38,349/x
  3. Step 3: Cross multiply
    121,455x = 182,182.50 × 38,349
  4. Step 4: Simplify right side
    121,455x = 6,986,516,692.50
  5. Step 5: Solve for x
    x = 6,986,516,692.50/121,455
  6. Step 6: Final answer
    x = 57,523.50

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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.