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Finding the Fourth Proportional to 208,063.07, 287,126.93 and 117,438.05

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Solution

The fourth proportional to 208,063.07, 287,126.93 and 117,438.05 is: 162,064.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,063.07 : 287,126.93 = 117,438.05 : x
  2. Step 2: Convert to fraction form
    208,063.07/287,126.93 = 117,438.05/x
  3. Step 3: Cross multiply
    208,063.07x = 287,126.93 × 117,438.05
  4. Step 4: Simplify right side
    208,063.07x = 33,719,624,738.86
  5. Step 5: Solve for x
    x = 33,719,624,738.86/208,063.07
  6. Step 6: Final answer
    x = 162,064.44

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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.