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Finding the Fourth Proportional to 65,818.46, 90,831.03 and 37,526.78

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Solution

The fourth proportional to 65,818.46, 90,831.03 and 37,526.78 is: 51,787.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,818.46 : 90,831.03 = 37,526.78 : x
  2. Step 2: Convert to fraction form
    65,818.46/90,831.03 = 37,526.78/x
  3. Step 3: Cross multiply
    65,818.46x = 90,831.03 × 37,526.78
  4. Step 4: Simplify right side
    65,818.46x = 3,408,596,079.98
  5. Step 5: Solve for x
    x = 3,408,596,079.98/65,818.46
  6. Step 6: Final answer
    x = 51,787.84

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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.