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Finding the Fourth Proportional to 66,831.16, 100,207.86 and 25,281.40

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Solution

The fourth proportional to 66,831.16, 100,207.86 and 25,281.40 is: 37,907.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,831.16 : 100,207.86 = 25,281.40 : x
  2. Step 2: Convert to fraction form
    66,831.16/100,207.86 = 25,281.40/x
  3. Step 3: Cross multiply
    66,831.16x = 100,207.86 × 25,281.40
  4. Step 4: Simplify right side
    66,831.16x = 2,533,394,991.80
  5. Step 5: Solve for x
    x = 2,533,394,991.80/66,831.16
  6. Step 6: Final answer
    x = 37,907.39

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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.