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Finding the Fourth Proportional to 101,412.41, 139,978.33 and 71,205.08

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Solution

The fourth proportional to 101,412.41, 139,978.33 and 71,205.08 is: 98,283.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,412.41 : 139,978.33 = 71,205.08 : x
  2. Step 2: Convert to fraction form
    101,412.41/139,978.33 = 71,205.08/x
  3. Step 3: Cross multiply
    101,412.41x = 139,978.33 × 71,205.08
  4. Step 4: Simplify right side
    101,412.41x = 9,967,167,308.01
  5. Step 5: Solve for x
    x = 9,967,167,308.01/101,412.41
  6. Step 6: Final answer
    x = 98,283.51

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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.