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Finding the Fourth Proportional to 65,724, 90,692.62 and 40,237.55

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Solution

The fourth proportional to 65,724, 90,692.62 and 40,237.55 is: 55,523.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,724 : 90,692.62 = 40,237.55 : x
  2. Step 2: Convert to fraction form
    65,724/90,692.62 = 40,237.55/x
  3. Step 3: Cross multiply
    65,724x = 90,692.62 × 40,237.55
  4. Step 4: Simplify right side
    65,724x = 3,649,248,831.88
  5. Step 5: Solve for x
    x = 3,649,248,831.88/65,724
  6. Step 6: Final answer
    x = 55,523.84

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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.