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Finding the Fourth Proportional to 201,420.64, 277,963.68 and 110,780.56

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Solution

The fourth proportional to 201,420.64, 277,963.68 and 110,780.56 is: 152,878.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,420.64 : 277,963.68 = 110,780.56 : x
  2. Step 2: Convert to fraction form
    201,420.64/277,963.68 = 110,780.56/x
  3. Step 3: Cross multiply
    201,420.64x = 277,963.68 × 110,780.56
  4. Step 4: Simplify right side
    201,420.64x = 30,792,972,130.06
  5. Step 5: Solve for x
    x = 30,792,972,130.06/201,420.64
  6. Step 6: Final answer
    x = 152,878.93

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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.