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Finding the Fourth Proportional to 106,708.53, 147,216.51 and 61,379.31

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Solution

The fourth proportional to 106,708.53, 147,216.51 and 61,379.31 is: 84,679.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,708.53 : 147,216.51 = 61,379.31 : x
  2. Step 2: Convert to fraction form
    106,708.53/147,216.51 = 61,379.31/x
  3. Step 3: Cross multiply
    106,708.53x = 147,216.51 × 61,379.31
  4. Step 4: Simplify right side
    106,708.53x = 9,036,047,804.41
  5. Step 5: Solve for x
    x = 9,036,047,804.41/106,708.53
  6. Step 6: Final answer
    x = 84,679.71

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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.