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Finding the Fourth Proportional to 100,164.63, 138,226.71 and 54,224.31

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Solution

The fourth proportional to 100,164.63, 138,226.71 and 54,224.31 is: 74,829.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,164.63 : 138,226.71 = 54,224.31 : x
  2. Step 2: Convert to fraction form
    100,164.63/138,226.71 = 54,224.31/x
  3. Step 3: Cross multiply
    100,164.63x = 138,226.71 × 54,224.31
  4. Step 4: Simplify right side
    100,164.63x = 7,495,247,973.32
  5. Step 5: Solve for x
    x = 7,495,247,973.32/100,164.63
  6. Step 6: Final answer
    x = 74,829.29

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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.