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Finding the Fourth Proportional to 53,650, 74,038.28 and 30,098

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Solution

The fourth proportional to 53,650, 74,038.28 and 30,098 is: 41,535.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,650 : 74,038.28 = 30,098 : x
  2. Step 2: Convert to fraction form
    53,650/74,038.28 = 30,098/x
  3. Step 3: Cross multiply
    53,650x = 74,038.28 × 30,098
  4. Step 4: Simplify right side
    53,650x = 2,228,404,151.44
  5. Step 5: Solve for x
    x = 2,228,404,151.44/53,650
  6. Step 6: Final answer
    x = 41,535.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.