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Finding the Fourth Proportional to 100,872, 139,203.36 and 56,170.56

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Solution

The fourth proportional to 100,872, 139,203.36 and 56,170.56 is: 77,515.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,872 : 139,203.36 = 56,170.56 : x
  2. Step 2: Convert to fraction form
    100,872/139,203.36 = 56,170.56/x
  3. Step 3: Cross multiply
    100,872x = 139,203.36 × 56,170.56
  4. Step 4: Simplify right side
    100,872x = 7,819,130,685.08
  5. Step 5: Solve for x
    x = 7,819,130,685.08/100,872
  6. Step 6: Final answer
    x = 77,515.37

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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.