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Finding the Fourth Proportional to 265,831.04, 398,768.16 and 78,842

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Solution

The fourth proportional to 265,831.04, 398,768.16 and 78,842 is: 118,269.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,831.04 : 398,768.16 = 78,842 : x
  2. Step 2: Convert to fraction form
    265,831.04/398,768.16 = 78,842/x
  3. Step 3: Cross multiply
    265,831.04x = 398,768.16 × 78,842
  4. Step 4: Simplify right side
    265,831.04x = 31,439,679,270.72
  5. Step 5: Solve for x
    x = 31,439,679,270.72/265,831.04
  6. Step 6: Final answer
    x = 118,269.41

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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.