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Finding the Fourth Proportional to 65,903.40, 90,947.10 and 36,831.78

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Solution

The fourth proportional to 65,903.40, 90,947.10 and 36,831.78 is: 50,828.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,903.40 : 90,947.10 = 36,831.78 : x
  2. Step 2: Convert to fraction form
    65,903.40/90,947.10 = 36,831.78/x
  3. Step 3: Cross multiply
    65,903.40x = 90,947.10 × 36,831.78
  4. Step 4: Simplify right side
    65,903.40x = 3,349,743,578.84
  5. Step 5: Solve for x
    x = 3,349,743,578.84/65,903.40
  6. Step 6: Final answer
    x = 50,828.08

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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.