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Finding the Fourth Proportional to 201,271.40, 277,780.80 and 129,859.16

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Solution

The fourth proportional to 201,271.40, 277,780.80 and 129,859.16 is: 179,222.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,271.40 : 277,780.80 = 129,859.16 : x
  2. Step 2: Convert to fraction form
    201,271.40/277,780.80 = 129,859.16/x
  3. Step 3: Cross multiply
    201,271.40x = 277,780.80 × 129,859.16
  4. Step 4: Simplify right side
    201,271.40x = 36,072,379,963.22
  5. Step 5: Solve for x
    x = 36,072,379,963.22/201,271.40
  6. Step 6: Final answer
    x = 179,222.59

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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.