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Finding the Fourth Proportional to 56,765.76, 85,107.03 and 19,315.77

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Solution

The fourth proportional to 56,765.76, 85,107.03 and 19,315.77 is: 28,959.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,765.76 : 85,107.03 = 19,315.77 : x
  2. Step 2: Convert to fraction form
    56,765.76/85,107.03 = 19,315.77/x
  3. Step 3: Cross multiply
    56,765.76x = 85,107.03 × 19,315.77
  4. Step 4: Simplify right side
    56,765.76x = 1,643,907,479.60
  5. Step 5: Solve for x
    x = 1,643,907,479.60/56,765.76
  6. Step 6: Final answer
    x = 28,959.49

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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.