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Finding the Fourth Proportional to 55,578.78, 83,368.20 and 14,025.78

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Solution

The fourth proportional to 55,578.78, 83,368.20 and 14,025.78 is: 21,038.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,578.78 : 83,368.20 = 14,025.78 : x
  2. Step 2: Convert to fraction form
    55,578.78/83,368.20 = 14,025.78/x
  3. Step 3: Cross multiply
    55,578.78x = 83,368.20 × 14,025.78
  4. Step 4: Simplify right side
    55,578.78x = 1,169,304,032.20
  5. Step 5: Solve for x
    x = 1,169,304,032.20/55,578.78
  6. Step 6: Final answer
    x = 21,038.68

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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.