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Finding the Fourth Proportional to 53,690.70, 74,162.94 and 40,866

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Solution

The fourth proportional to 53,690.70, 74,162.94 and 40,866 is: 56,448.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,690.70 : 74,162.94 = 40,866 : x
  2. Step 2: Convert to fraction form
    53,690.70/74,162.94 = 40,866/x
  3. Step 3: Cross multiply
    53,690.70x = 74,162.94 × 40,866
  4. Step 4: Simplify right side
    53,690.70x = 3,030,742,706.04
  5. Step 5: Solve for x
    x = 3,030,742,706.04/53,690.70
  6. Step 6: Final answer
    x = 56,448.19

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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.