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Finding the Fourth Proportional to 138,586.60, 207,831.30 and 72,004.60

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Solution

The fourth proportional to 138,586.60, 207,831.30 and 72,004.60 is: 107,981.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,586.60 : 207,831.30 = 72,004.60 : x
  2. Step 2: Convert to fraction form
    138,586.60/207,831.30 = 72,004.60/x
  3. Step 3: Cross multiply
    138,586.60x = 207,831.30 × 72,004.60
  4. Step 4: Simplify right side
    138,586.60x = 14,964,809,623.98
  5. Step 5: Solve for x
    x = 14,964,809,623.98/138,586.60
  6. Step 6: Final answer
    x = 107,981.65

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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.