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Finding the Fourth Proportional to 201,021.72, 277,353.36 and 129,443.16

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Solution

The fourth proportional to 201,021.72, 277,353.36 and 129,443.16 is: 178,595.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,021.72 : 277,353.36 = 129,443.16 : x
  2. Step 2: Convert to fraction form
    201,021.72/277,353.36 = 129,443.16/x
  3. Step 3: Cross multiply
    201,021.72x = 277,353.36 × 129,443.16
  4. Step 4: Simplify right side
    201,021.72x = 35,901,495,355.02
  5. Step 5: Solve for x
    x = 35,901,495,355.02/201,021.72
  6. Step 6: Final answer
    x = 178,595.11

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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.