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Finding the Fourth Proportional to 199,580.82, 299,337.21 and 66,445.98

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Solution

The fourth proportional to 199,580.82, 299,337.21 and 66,445.98 is: 99,657.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,580.82 : 299,337.21 = 66,445.98 : x
  2. Step 2: Convert to fraction form
    199,580.82/299,337.21 = 66,445.98/x
  3. Step 3: Cross multiply
    199,580.82x = 299,337.21 × 66,445.98
  4. Step 4: Simplify right side
    199,580.82x = 19,889,754,268.92
  5. Step 5: Solve for x
    x = 19,889,754,268.92/199,580.82
  6. Step 6: Final answer
    x = 99,657.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.