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Finding the Fourth Proportional to 100,932, 139,286.22 and 56,220

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Solution

The fourth proportional to 100,932, 139,286.22 and 56,220 is: 77,583.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,932 : 139,286.22 = 56,220 : x
  2. Step 2: Convert to fraction form
    100,932/139,286.22 = 56,220/x
  3. Step 3: Cross multiply
    100,932x = 139,286.22 × 56,220
  4. Step 4: Simplify right side
    100,932x = 7,830,671,288.40
  5. Step 5: Solve for x
    x = 7,830,671,288.40/100,932
  6. Step 6: Final answer
    x = 77,583.63

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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.