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Finding the Fourth Proportional to 75,466.40, 113,329.20 and 53,434.40

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Solution

The fourth proportional to 75,466.40, 113,329.20 and 53,434.40 is: 80,243.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,466.40 : 113,329.20 = 53,434.40 : x
  2. Step 2: Convert to fraction form
    75,466.40/113,329.20 = 53,434.40/x
  3. Step 3: Cross multiply
    75,466.40x = 113,329.20 × 53,434.40
  4. Step 4: Simplify right side
    75,466.40x = 6,055,677,804.48
  5. Step 5: Solve for x
    x = 6,055,677,804.48/75,466.40
  6. Step 6: Final answer
    x = 80,243.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.