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Finding the Fourth Proportional to 65,041.40, 89,831.16 and 43,783.76

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Solution

The fourth proportional to 65,041.40, 89,831.16 and 43,783.76 is: 60,471.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,041.40 : 89,831.16 = 43,783.76 : x
  2. Step 2: Convert to fraction form
    65,041.40/89,831.16 = 43,783.76/x
  3. Step 3: Cross multiply
    65,041.40x = 89,831.16 × 43,783.76
  4. Step 4: Simplify right side
    65,041.40x = 3,933,145,949.96
  5. Step 5: Solve for x
    x = 3,933,145,949.96/65,041.40
  6. Step 6: Final answer
    x = 60,471.42

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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.