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Finding the Fourth Proportional to 84,831.80, 127,247.70 and 77,055.80

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Solution

The fourth proportional to 84,831.80, 127,247.70 and 77,055.80 is: 115,583.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,831.80 : 127,247.70 = 77,055.80 : x
  2. Step 2: Convert to fraction form
    84,831.80/127,247.70 = 77,055.80/x
  3. Step 3: Cross multiply
    84,831.80x = 127,247.70 × 77,055.80
  4. Step 4: Simplify right side
    84,831.80x = 9,805,173,321.66
  5. Step 5: Solve for x
    x = 9,805,173,321.66/84,831.80
  6. Step 6: Final answer
    x = 115,583.70

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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.