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Finding the Fourth Proportional to 56,624.96, 84,936.48 and 19,688

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Solution

The fourth proportional to 56,624.96, 84,936.48 and 19,688 is: 29,531.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,624.96 : 84,936.48 = 19,688 : x
  2. Step 2: Convert to fraction form
    56,624.96/84,936.48 = 19,688/x
  3. Step 3: Cross multiply
    56,624.96x = 84,936.48 × 19,688
  4. Step 4: Simplify right side
    56,624.96x = 1,672,229,418.24
  5. Step 5: Solve for x
    x = 1,672,229,418.24/56,624.96
  6. Step 6: Final answer
    x = 29,531.67

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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.