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Finding the Fourth Proportional to 148,436, 204,842.40 and 88,820

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Solution

The fourth proportional to 148,436, 204,842.40 and 88,820 is: 122,572.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,436 : 204,842.40 = 88,820 : x
  2. Step 2: Convert to fraction form
    148,436/204,842.40 = 88,820/x
  3. Step 3: Cross multiply
    148,436x = 204,842.40 × 88,820
  4. Step 4: Simplify right side
    148,436x = 18,194,101,968
  5. Step 5: Solve for x
    x = 18,194,101,968/148,436
  6. Step 6: Final answer
    x = 122,572.03

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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.