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Finding the Fourth Proportional to 208,063.44, 287,127.45 and 117,438.42

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Solution

The fourth proportional to 208,063.44, 287,127.45 and 117,438.42 is: 162,064.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,063.44 : 287,127.45 = 117,438.42 : x
  2. Step 2: Convert to fraction form
    208,063.44/287,127.45 = 117,438.42/x
  3. Step 3: Cross multiply
    208,063.44x = 287,127.45 × 117,438.42
  4. Step 4: Simplify right side
    208,063.44x = 33,719,794,066.63
  5. Step 5: Solve for x
    x = 33,719,794,066.63/208,063.44
  6. Step 6: Final answer
    x = 162,064.96

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1.5x scale

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.