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Finding the Fourth Proportional to 157,857.56, 217,762.52 and 106,872.12

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Solution

The fourth proportional to 157,857.56, 217,762.52 and 106,872.12 is: 147,428.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,857.56 : 217,762.52 = 106,872.12 : x
  2. Step 2: Convert to fraction form
    157,857.56/217,762.52 = 106,872.12/x
  3. Step 3: Cross multiply
    157,857.56x = 217,762.52 × 106,872.12
  4. Step 4: Simplify right side
    157,857.56x = 23,272,742,168.94
  5. Step 5: Solve for x
    x = 23,272,742,168.94/157,857.56
  6. Step 6: Final answer
    x = 147,428.75

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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.