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Finding the Fourth Proportional to 202,857.09, 304,460.60 and 78,285.57

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Solution

The fourth proportional to 202,857.09, 304,460.60 and 78,285.57 is: 117,495.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,857.09 : 304,460.60 = 78,285.57 : x
  2. Step 2: Convert to fraction form
    202,857.09/304,460.60 = 78,285.57/x
  3. Step 3: Cross multiply
    202,857.09x = 304,460.60 × 78,285.57
  4. Step 4: Simplify right side
    202,857.09x = 23,834,871,222.11
  5. Step 5: Solve for x
    x = 23,834,871,222.11/202,857.09
  6. Step 6: Final answer
    x = 117,495.87

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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.