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Finding the Fourth Proportional to 201,084.78, 277,466.90 and 115,030.08

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Solution

The fourth proportional to 201,084.78, 277,466.90 and 115,030.08 is: 158,724.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,084.78 : 277,466.90 = 115,030.08 : x
  2. Step 2: Convert to fraction form
    201,084.78/277,466.90 = 115,030.08/x
  3. Step 3: Cross multiply
    201,084.78x = 277,466.90 × 115,030.08
  4. Step 4: Simplify right side
    201,084.78x = 31,917,039,129.20
  5. Step 5: Solve for x
    x = 31,917,039,129.20/201,084.78
  6. Step 6: Final answer
    x = 158,724.29

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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.