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Finding the Fourth Proportional to 148,409.76, 204,831.78 and 112,539.30

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Solution

The fourth proportional to 148,409.76, 204,831.78 and 112,539.30 is: 155,324.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,409.76 : 204,831.78 = 112,539.30 : x
  2. Step 2: Convert to fraction form
    148,409.76/204,831.78 = 112,539.30/x
  3. Step 3: Cross multiply
    148,409.76x = 204,831.78 × 112,539.30
  4. Step 4: Simplify right side
    148,409.76x = 23,051,625,138.95
  5. Step 5: Solve for x
    x = 23,051,625,138.95/148,409.76
  6. Step 6: Final answer
    x = 155,324.19

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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.