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Finding the Fourth Proportional to 53,678.73, 74,146.37 and 40,854

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Solution

The fourth proportional to 53,678.73, 74,146.37 and 40,854 is: 56,431.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,678.73 : 74,146.37 = 40,854 : x
  2. Step 2: Convert to fraction form
    53,678.73/74,146.37 = 40,854/x
  3. Step 3: Cross multiply
    53,678.73x = 74,146.37 × 40,854
  4. Step 4: Simplify right side
    53,678.73x = 3,029,175,595.71
  5. Step 5: Solve for x
    x = 3,029,175,595.71/53,678.73
  6. Step 6: Final answer
    x = 56,431.58

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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.