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Finding the Fourth Proportional to 148,911.76, 205,499.04 and 80,929.28

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Solution

The fourth proportional to 148,911.76, 205,499.04 and 80,929.28 is: 111,682.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,911.76 : 205,499.04 = 80,929.28 : x
  2. Step 2: Convert to fraction form
    148,911.76/205,499.04 = 80,929.28/x
  3. Step 3: Cross multiply
    148,911.76x = 205,499.04 × 80,929.28
  4. Step 4: Simplify right side
    148,911.76x = 16,630,889,347.89
  5. Step 5: Solve for x
    x = 16,630,889,347.89/148,911.76
  6. Step 6: Final answer
    x = 111,682.85

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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.