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Finding the Fourth Proportional to 200,780.53, 277,077.12 and 115,897.60

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Solution

The fourth proportional to 200,780.53, 277,077.12 and 115,897.60 is: 159,938.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,780.53 : 277,077.12 = 115,897.60 : x
  2. Step 2: Convert to fraction form
    200,780.53/277,077.12 = 115,897.60/x
  3. Step 3: Cross multiply
    200,780.53x = 277,077.12 × 115,897.60
  4. Step 4: Simplify right side
    200,780.53x = 32,112,573,222.91
  5. Step 5: Solve for x
    x = 32,112,573,222.91/200,780.53
  6. Step 6: Final answer
    x = 159,938.68

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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.