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Finding the Fourth Proportional to 77,831.30, 116,735.34 and 21,665.54

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Solution

The fourth proportional to 77,831.30, 116,735.34 and 21,665.54 is: 32,495.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,831.30 : 116,735.34 = 21,665.54 : x
  2. Step 2: Convert to fraction form
    77,831.30/116,735.34 = 21,665.54/x
  3. Step 3: Cross multiply
    77,831.30x = 116,735.34 × 21,665.54
  4. Step 4: Simplify right side
    77,831.30x = 2,529,134,178.18
  5. Step 5: Solve for x
    x = 2,529,134,178.18/77,831.30
  6. Step 6: Final answer
    x = 32,495.08

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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.