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Finding the Fourth Proportional to 208,857.33, 288,223.38 and 113,364

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Solution

The fourth proportional to 208,857.33, 288,223.38 and 113,364 is: 156,442.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,857.33 : 288,223.38 = 113,364 : x
  2. Step 2: Convert to fraction form
    208,857.33/288,223.38 = 113,364/x
  3. Step 3: Cross multiply
    208,857.33x = 288,223.38 × 113,364
  4. Step 4: Simplify right side
    208,857.33x = 32,674,155,250.32
  5. Step 5: Solve for x
    x = 32,674,155,250.32/208,857.33
  6. Step 6: Final answer
    x = 156,442.46

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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.