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Finding the Fourth Proportional to 76,623.40, 114,716.40 and 74,436.40

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Solution

The fourth proportional to 76,623.40, 114,716.40 and 74,436.40 is: 111,442.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,623.40 : 114,716.40 = 74,436.40 : x
  2. Step 2: Convert to fraction form
    76,623.40/114,716.40 = 74,436.40/x
  3. Step 3: Cross multiply
    76,623.40x = 114,716.40 × 74,436.40
  4. Step 4: Simplify right side
    76,623.40x = 8,539,075,836.96
  5. Step 5: Solve for x
    x = 8,539,075,836.96/76,623.40
  6. Step 6: Final answer
    x = 111,442.14

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Why These Related Problems?

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