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Finding the Fourth Proportional to 208,067.76, 287,133.36 and 117,442.80

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Solution

The fourth proportional to 208,067.76, 287,133.36 and 117,442.80 is: 162,070.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,067.76 : 287,133.36 = 117,442.80 : x
  2. Step 2: Convert to fraction form
    208,067.76/287,133.36 = 117,442.80/x
  3. Step 3: Cross multiply
    208,067.76x = 287,133.36 × 117,442.80
  4. Step 4: Simplify right side
    208,067.76x = 33,721,745,771.81
  5. Step 5: Solve for x
    x = 33,721,745,771.81/208,067.76
  6. Step 6: Final answer
    x = 162,070.98

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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.