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Finding the Fourth Proportional to 77,978.89, 107,609.07 and 46,148.32

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Solution

The fourth proportional to 77,978.89, 107,609.07 and 46,148.32 is: 63,683.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,978.89 : 107,609.07 = 46,148.32 : x
  2. Step 2: Convert to fraction form
    77,978.89/107,609.07 = 46,148.32/x
  3. Step 3: Cross multiply
    77,978.89x = 107,609.07 × 46,148.32
  4. Step 4: Simplify right side
    77,978.89x = 4,965,977,797.26
  5. Step 5: Solve for x
    x = 4,965,977,797.26/77,978.89
  6. Step 6: Final answer
    x = 63,683.62

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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.