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Finding the Fourth Proportional to 100,989, 139,364.01 and 55,666.98

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Solution

The fourth proportional to 100,989, 139,364.01 and 55,666.98 is: 76,819.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,989 : 139,364.01 = 55,666.98 : x
  2. Step 2: Convert to fraction form
    100,989/139,364.01 = 55,666.98/x
  3. Step 3: Cross multiply
    100,989x = 139,364.01 × 55,666.98
  4. Step 4: Simplify right side
    100,989x = 7,757,973,557.39
  5. Step 5: Solve for x
    x = 7,757,973,557.39/100,989
  6. Step 6: Final answer
    x = 76,819.99

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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.