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Finding the Fourth Proportional to 277,838.80, 416,143.80 and 111,541.20

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Solution

The fourth proportional to 277,838.80, 416,143.80 and 111,541.20 is: 167,065.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,838.80 : 416,143.80 = 111,541.20 : x
  2. Step 2: Convert to fraction form
    277,838.80/416,143.80 = 111,541.20/x
  3. Step 3: Cross multiply
    277,838.80x = 416,143.80 × 111,541.20
  4. Step 4: Simplify right side
    277,838.80x = 46,417,178,824.56
  5. Step 5: Solve for x
    x = 46,417,178,824.56/277,838.80
  6. Step 6: Final answer
    x = 167,065.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.