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Finding the Fourth Proportional to 148,838.78, 205,399.41 and 80,856.02

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Solution

The fourth proportional to 148,838.78, 205,399.41 and 80,856.02 is: 111,582.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,838.78 : 205,399.41 = 80,856.02 : x
  2. Step 2: Convert to fraction form
    148,838.78/205,399.41 = 80,856.02/x
  3. Step 3: Cross multiply
    148,838.78x = 205,399.41 × 80,856.02
  4. Step 4: Simplify right side
    148,838.78x = 16,607,778,802.95
  5. Step 5: Solve for x
    x = 16,607,778,802.95/148,838.78
  6. Step 6: Final answer
    x = 111,582.34

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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.