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Finding the Fourth Proportional to 100,366.44, 138,501 and 57,938.64

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Solution

The fourth proportional to 100,366.44, 138,501 and 57,938.64 is: 79,952.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,366.44 : 138,501 = 57,938.64 : x
  2. Step 2: Convert to fraction form
    100,366.44/138,501 = 57,938.64/x
  3. Step 3: Cross multiply
    100,366.44x = 138,501 × 57,938.64
  4. Step 4: Simplify right side
    100,366.44x = 8,024,559,578.64
  5. Step 5: Solve for x
    x = 8,024,559,578.64/100,366.44
  6. Step 6: Final answer
    x = 79,952.62

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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.