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Finding the Fourth Proportional to 202,308.78, 303,477.75 and 77,649.78

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Solution

The fourth proportional to 202,308.78, 303,477.75 and 77,649.78 is: 116,480.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,308.78 : 303,477.75 = 77,649.78 : x
  2. Step 2: Convert to fraction form
    202,308.78/303,477.75 = 77,649.78/x
  3. Step 3: Cross multiply
    202,308.78x = 303,477.75 × 77,649.78
  4. Step 4: Simplify right side
    202,308.78x = 23,564,980,522.40
  5. Step 5: Solve for x
    x = 23,564,980,522.40/202,308.78
  6. Step 6: Final answer
    x = 116,480.27

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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.