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Finding the Fourth Proportional to 55,624.96, 83,449.92 and 18,688

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Solution

The fourth proportional to 55,624.96, 83,449.92 and 18,688 is: 28,036.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,624.96 : 83,449.92 = 18,688 : x
  2. Step 2: Convert to fraction form
    55,624.96/83,449.92 = 18,688/x
  3. Step 3: Cross multiply
    55,624.96x = 83,449.92 × 18,688
  4. Step 4: Simplify right side
    55,624.96x = 1,559,512,104.96
  5. Step 5: Solve for x
    x = 1,559,512,104.96/55,624.96
  6. Step 6: Final answer
    x = 28,036.19

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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.