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Finding the Fourth Proportional to 78,509.81, 108,297.37 and 46,676.81

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Solution

The fourth proportional to 78,509.81, 108,297.37 and 46,676.81 is: 64,386.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,509.81 : 108,297.37 = 46,676.81 : x
  2. Step 2: Convert to fraction form
    78,509.81/108,297.37 = 46,676.81/x
  3. Step 3: Cross multiply
    78,509.81x = 108,297.37 × 46,676.81
  4. Step 4: Simplify right side
    78,509.81x = 5,054,976,092.08
  5. Step 5: Solve for x
    x = 5,054,976,092.08/78,509.81
  6. Step 6: Final answer
    x = 64,386.55

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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.