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Finding the Fourth Proportional to 56,456.54, 84,684.84 and 14,339.78

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Solution

The fourth proportional to 56,456.54, 84,684.84 and 14,339.78 is: 21,509.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,456.54 : 84,684.84 = 14,339.78 : x
  2. Step 2: Convert to fraction form
    56,456.54/84,684.84 = 14,339.78/x
  3. Step 3: Cross multiply
    56,456.54x = 84,684.84 × 14,339.78
  4. Step 4: Simplify right side
    56,456.54x = 1,214,361,551.51
  5. Step 5: Solve for x
    x = 1,214,361,551.51/56,456.54
  6. Step 6: Final answer
    x = 21,509.67

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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.