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Finding the Fourth Proportional to 147,578.88, 203,596.80 and 102,892.80

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Solution

The fourth proportional to 147,578.88, 203,596.80 and 102,892.80 is: 141,948.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,578.88 : 203,596.80 = 102,892.80 : x
  2. Step 2: Convert to fraction form
    147,578.88/203,596.80 = 102,892.80/x
  3. Step 3: Cross multiply
    147,578.88x = 203,596.80 × 102,892.80
  4. Step 4: Simplify right side
    147,578.88x = 20,948,644,823.04
  5. Step 5: Solve for x
    x = 20,948,644,823.04/147,578.88
  6. Step 6: Final answer
    x = 141,948.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.