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Finding the Fourth Proportional to 201,639.60, 278,246.16 and 116,762.16

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Solution

The fourth proportional to 201,639.60, 278,246.16 and 116,762.16 is: 161,122.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,639.60 : 278,246.16 = 116,762.16 : x
  2. Step 2: Convert to fraction form
    201,639.60/278,246.16 = 116,762.16/x
  3. Step 3: Cross multiply
    201,639.60x = 278,246.16 × 116,762.16
  4. Step 4: Simplify right side
    201,639.60x = 32,488,622,653.31
  5. Step 5: Solve for x
    x = 32,488,622,653.31/201,639.60
  6. Step 6: Final answer
    x = 161,122.23

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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.