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Finding the Fourth Proportional to 272,938.75, 409,388.65 and 102,127.97

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Solution

The fourth proportional to 272,938.75, 409,388.65 and 102,127.97 is: 153,184.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,938.75 : 409,388.65 = 102,127.97 : x
  2. Step 2: Convert to fraction form
    272,938.75/409,388.65 = 102,127.97/x
  3. Step 3: Cross multiply
    272,938.75x = 409,388.65 × 102,127.97
  4. Step 4: Simplify right side
    272,938.75x = 41,810,032,533.69
  5. Step 5: Solve for x
    x = 41,810,032,533.69/272,938.75
  6. Step 6: Final answer
    x = 153,184.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.