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Finding the Fourth Proportional to 199,926.59, 299,905.35 and 66,807.31

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Solution

The fourth proportional to 199,926.59, 299,905.35 and 66,807.31 is: 100,216.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,926.59 : 299,905.35 = 66,807.31 : x
  2. Step 2: Convert to fraction form
    199,926.59/299,905.35 = 66,807.31/x
  3. Step 3: Cross multiply
    199,926.59x = 299,905.35 × 66,807.31
  4. Step 4: Simplify right side
    199,926.59x = 20,035,869,688.11
  5. Step 5: Solve for x
    x = 20,035,869,688.11/199,926.59
  6. Step 6: Final answer
    x = 100,216.13

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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.