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Finding the Fourth Proportional to 201,762.42, 278,133.42 and 129,154.62

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Solution

The fourth proportional to 201,762.42, 278,133.42 and 129,154.62 is: 178,042.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,762.42 : 278,133.42 = 129,154.62 : x
  2. Step 2: Convert to fraction form
    201,762.42/278,133.42 = 129,154.62/x
  3. Step 3: Cross multiply
    201,762.42x = 278,133.42 × 129,154.62
  4. Step 4: Simplify right side
    201,762.42x = 35,922,216,169.40
  5. Step 5: Solve for x
    x = 35,922,216,169.40/201,762.42
  6. Step 6: Final answer
    x = 178,042.16

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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.