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Finding the Fourth Proportional to 265,831.29, 398,768.54 and 78,842.25

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Solution

The fourth proportional to 265,831.29, 398,768.54 and 78,842.25 is: 118,269.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,831.29 : 398,768.54 = 78,842.25 : x
  2. Step 2: Convert to fraction form
    265,831.29/398,768.54 = 78,842.25/x
  3. Step 3: Cross multiply
    265,831.29x = 398,768.54 × 78,842.25
  4. Step 4: Simplify right side
    265,831.29x = 31,439,808,528.60
  5. Step 5: Solve for x
    x = 31,439,808,528.60/265,831.29
  6. Step 6: Final answer
    x = 118,269.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.