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Finding the Fourth Proportional to 208,697.21, 287,824.54 and 160,416.15

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Solution

The fourth proportional to 208,697.21, 287,824.54 and 160,416.15 is: 221,237.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,697.21 : 287,824.54 = 160,416.15 : x
  2. Step 2: Convert to fraction form
    208,697.21/287,824.54 = 160,416.15/x
  3. Step 3: Cross multiply
    208,697.21x = 287,824.54 × 160,416.15
  4. Step 4: Simplify right side
    208,697.21x = 46,171,703,402.72
  5. Step 5: Solve for x
    x = 46,171,703,402.72/208,697.21
  6. Step 6: Final answer
    x = 221,237.76

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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.