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Finding the Fourth Proportional to 208,018.93, 287,101.33 and 120,790.44

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Solution

The fourth proportional to 208,018.93, 287,101.33 and 120,790.44 is: 166,711.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,018.93 : 287,101.33 = 120,790.44 : x
  2. Step 2: Convert to fraction form
    208,018.93/287,101.33 = 120,790.44/x
  3. Step 3: Cross multiply
    208,018.93x = 287,101.33 × 120,790.44
  4. Step 4: Simplify right side
    208,018.93x = 34,679,094,539.78
  5. Step 5: Solve for x
    x = 34,679,094,539.78/208,018.93
  6. Step 6: Final answer
    x = 166,711.24

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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.