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Finding the Fourth Proportional to 199,788.71, 299,683.27 and 55,688.78

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Solution

The fourth proportional to 199,788.71, 299,683.27 and 55,688.78 is: 83,533.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,788.71 : 299,683.27 = 55,688.78 : x
  2. Step 2: Convert to fraction form
    199,788.71/299,683.27 = 55,688.78/x
  3. Step 3: Cross multiply
    199,788.71x = 299,683.27 × 55,688.78
  4. Step 4: Simplify right side
    199,788.71x = 16,688,995,090.62
  5. Step 5: Solve for x
    x = 16,688,995,090.62/199,788.71
  6. Step 6: Final answer
    x = 83,533.22

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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.