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Finding the Fourth Proportional to 121,938.30, 182,907.45 and 102,255.30

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Solution

The fourth proportional to 121,938.30, 182,907.45 and 102,255.30 is: 153,382.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,938.30 : 182,907.45 = 102,255.30 : x
  2. Step 2: Convert to fraction form
    121,938.30/182,907.45 = 102,255.30/x
  3. Step 3: Cross multiply
    121,938.30x = 182,907.45 × 102,255.30
  4. Step 4: Simplify right side
    121,938.30x = 18,703,256,171.99
  5. Step 5: Solve for x
    x = 18,703,256,171.99/121,938.30
  6. Step 6: Final answer
    x = 153,382.95

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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.