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Finding the Fourth Proportional to 201,216, 277,686.72 and 111,792

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Solution

The fourth proportional to 201,216, 277,686.72 and 111,792 is: 154,277.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,216 : 277,686.72 = 111,792 : x
  2. Step 2: Convert to fraction form
    201,216/277,686.72 = 111,792/x
  3. Step 3: Cross multiply
    201,216x = 277,686.72 × 111,792
  4. Step 4: Simplify right side
    201,216x = 31,043,153,802.24
  5. Step 5: Solve for x
    x = 31,043,153,802.24/201,216
  6. Step 6: Final answer
    x = 154,277.76

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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.