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Finding the Fourth Proportional to 76,390.25, 114,314.49 and 56,352.33

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Solution

The fourth proportional to 76,390.25, 114,314.49 and 56,352.33 is: 84,328.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,390.25 : 114,314.49 = 56,352.33 : x
  2. Step 2: Convert to fraction form
    76,390.25/114,314.49 = 56,352.33/x
  3. Step 3: Cross multiply
    76,390.25x = 114,314.49 × 56,352.33
  4. Step 4: Simplify right side
    76,390.25x = 6,441,887,864.26
  5. Step 5: Solve for x
    x = 6,441,887,864.26/76,390.25
  6. Step 6: Final answer
    x = 84,328.67

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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.