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Finding the Fourth Proportional to 54,684.90, 82,038.60 and 20,948.58

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Solution

The fourth proportional to 54,684.90, 82,038.60 and 20,948.58 is: 31,427.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,684.90 : 82,038.60 = 20,948.58 : x
  2. Step 2: Convert to fraction form
    54,684.90/82,038.60 = 20,948.58/x
  3. Step 3: Cross multiply
    54,684.90x = 82,038.60 × 20,948.58
  4. Step 4: Simplify right side
    54,684.90x = 1,718,592,175.19
  5. Step 5: Solve for x
    x = 1,718,592,175.19/54,684.90
  6. Step 6: Final answer
    x = 31,427.18

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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.