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Finding the Fourth Proportional to 151,728, 209,384.64 and 84,660.48

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Solution

The fourth proportional to 151,728, 209,384.64 and 84,660.48 is: 116,831.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,728 : 209,384.64 = 84,660.48 : x
  2. Step 2: Convert to fraction form
    151,728/209,384.64 = 84,660.48/x
  3. Step 3: Cross multiply
    151,728x = 209,384.64 × 84,660.48
  4. Step 4: Simplify right side
    151,728x = 17,726,604,127.03
  5. Step 5: Solve for x
    x = 17,726,604,127.03/151,728
  6. Step 6: Final answer
    x = 116,831.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.