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Finding the Fourth Proportional to 85,831.25, 128,580.82 and 48,277.22

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Solution

The fourth proportional to 85,831.25, 128,580.82 and 48,277.22 is: 72,322.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,831.25 : 128,580.82 = 48,277.22 : x
  2. Step 2: Convert to fraction form
    85,831.25/128,580.82 = 48,277.22/x
  3. Step 3: Cross multiply
    85,831.25x = 128,580.82 × 48,277.22
  4. Step 4: Simplify right side
    85,831.25x = 6,207,523,771.32
  5. Step 5: Solve for x
    x = 6,207,523,771.32/85,831.25
  6. Step 6: Final answer
    x = 72,322.42

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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.