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Finding the Fourth Proportional to 149,284, 223,926.81 and 38,476

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Solution

The fourth proportional to 149,284, 223,926.81 and 38,476 is: 57,714.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,284 : 223,926.81 = 38,476 : x
  2. Step 2: Convert to fraction form
    149,284/223,926.81 = 38,476/x
  3. Step 3: Cross multiply
    149,284x = 223,926.81 × 38,476
  4. Step 4: Simplify right side
    149,284x = 8,615,807,941.56
  5. Step 5: Solve for x
    x = 8,615,807,941.56/149,284
  6. Step 6: Final answer
    x = 57,714.21

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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.