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Finding the Fourth Proportional to 65,125.94, 89,831.10 and 51,675.86

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Solution

The fourth proportional to 65,125.94, 89,831.10 and 51,675.86 is: 71,278.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,125.94 : 89,831.10 = 51,675.86 : x
  2. Step 2: Convert to fraction form
    65,125.94/89,831.10 = 51,675.86/x
  3. Step 3: Cross multiply
    65,125.94x = 89,831.10 × 51,675.86
  4. Step 4: Simplify right side
    65,125.94x = 4,642,099,347.25
  5. Step 5: Solve for x
    x = 4,642,099,347.25/65,125.94
  6. Step 6: Final answer
    x = 71,278.81

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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.