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Finding the Fourth Proportional to 78,652.62, 117,913.62 and 31,238.46

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Solution

The fourth proportional to 78,652.62, 117,913.62 and 31,238.46 is: 46,831.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,652.62 : 117,913.62 = 31,238.46 : x
  2. Step 2: Convert to fraction form
    78,652.62/117,913.62 = 31,238.46/x
  3. Step 3: Cross multiply
    78,652.62x = 117,913.62 × 31,238.46
  4. Step 4: Simplify right side
    78,652.62x = 3,683,440,018.97
  5. Step 5: Solve for x
    x = 3,683,440,018.97/78,652.62
  6. Step 6: Final answer
    x = 46,831.75

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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.