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Finding the Fourth Proportional to 78,370.58, 108,160.63 and 46,539.47

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Solution

The fourth proportional to 78,370.58, 108,160.63 and 46,539.47 is: 64,229.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,370.58 : 108,160.63 = 46,539.47 : x
  2. Step 2: Convert to fraction form
    78,370.58/108,160.63 = 46,539.47/x
  3. Step 3: Cross multiply
    78,370.58x = 108,160.63 × 46,539.47
  4. Step 4: Simplify right side
    78,370.58x = 5,033,738,766.67
  5. Step 5: Solve for x
    x = 5,033,738,766.67/78,370.58
  6. Step 6: Final answer
    x = 64,229.96

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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.