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Finding the Fourth Proportional to 208,697.96, 287,825.57 and 160,416.90

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Solution

The fourth proportional to 208,697.96, 287,825.57 and 160,416.90 is: 221,238.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,697.96 : 287,825.57 = 160,416.90 : x
  2. Step 2: Convert to fraction form
    208,697.96/287,825.57 = 160,416.90/x
  3. Step 3: Cross multiply
    208,697.96x = 287,825.57 × 160,416.90
  4. Step 4: Simplify right side
    208,697.96x = 46,172,086,081.18
  5. Step 5: Solve for x
    x = 46,172,086,081.18/208,697.96
  6. Step 6: Final answer
    x = 221,238.80

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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.