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Finding the Fourth Proportional to 257,112.56, 385,629.24 and 70,138.64

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Solution

The fourth proportional to 257,112.56, 385,629.24 and 70,138.64 is: 105,197.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,112.56 : 385,629.24 = 70,138.64 : x
  2. Step 2: Convert to fraction form
    257,112.56/385,629.24 = 70,138.64/x
  3. Step 3: Cross multiply
    257,112.56x = 385,629.24 × 70,138.64
  4. Step 4: Simplify right side
    257,112.56x = 27,047,510,437.83
  5. Step 5: Solve for x
    x = 27,047,510,437.83/257,112.56
  6. Step 6: Final answer
    x = 105,197.16

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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.