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Finding the Fourth Proportional to 75,355.40, 103,879.42 and 57,419.28

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Solution

The fourth proportional to 75,355.40, 103,879.42 and 57,419.28 is: 79,154.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,355.40 : 103,879.42 = 57,419.28 : x
  2. Step 2: Convert to fraction form
    75,355.40/103,879.42 = 57,419.28/x
  3. Step 3: Cross multiply
    75,355.40x = 103,879.42 × 57,419.28
  4. Step 4: Simplify right side
    75,355.40x = 5,964,681,503.22
  5. Step 5: Solve for x
    x = 5,964,681,503.22/75,355.40
  6. Step 6: Final answer
    x = 79,154.00

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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.