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Finding the Fourth Proportional to 100,996.36, 139,368.71 and 55,672

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Solution

The fourth proportional to 100,996.36, 139,368.71 and 55,672 is: 76,823.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,996.36 : 139,368.71 = 55,672 : x
  2. Step 2: Convert to fraction form
    100,996.36/139,368.71 = 55,672/x
  3. Step 3: Cross multiply
    100,996.36x = 139,368.71 × 55,672
  4. Step 4: Simplify right side
    100,996.36x = 7,758,934,823.12
  5. Step 5: Solve for x
    x = 7,758,934,823.12/100,996.36
  6. Step 6: Final answer
    x = 76,823.91

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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.