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Finding the Fourth Proportional to 100,878, 139,211.62 and 55,555.58

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Solution

The fourth proportional to 100,878, 139,211.62 and 55,555.58 is: 76,666.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,878 : 139,211.62 = 55,555.58 : x
  2. Step 2: Convert to fraction form
    100,878/139,211.62 = 55,555.58/x
  3. Step 3: Cross multiply
    100,878x = 139,211.62 × 55,555.58
  4. Step 4: Simplify right side
    100,878x = 7,733,982,291.84
  5. Step 5: Solve for x
    x = 7,733,982,291.84/100,878
  6. Step 6: Final answer
    x = 76,666.69

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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.