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Finding the Fourth Proportional to 78,640.43, 108,525.08 and 42,831.14

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Solution

The fourth proportional to 78,640.43, 108,525.08 and 42,831.14 is: 59,107.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,640.43 : 108,525.08 = 42,831.14 : x
  2. Step 2: Convert to fraction form
    78,640.43/108,525.08 = 42,831.14/x
  3. Step 3: Cross multiply
    78,640.43x = 108,525.08 × 42,831.14
  4. Step 4: Simplify right side
    78,640.43x = 4,648,252,459.44
  5. Step 5: Solve for x
    x = 4,648,252,459.44/78,640.43
  6. Step 6: Final answer
    x = 59,107.67

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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.