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Finding the Fourth Proportional to 78,741.69, 108,660.40 and 46,486.70

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Solution

The fourth proportional to 78,741.69, 108,660.40 and 46,486.70 is: 64,149.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,741.69 : 108,660.40 = 46,486.70 : x
  2. Step 2: Convert to fraction form
    78,741.69/108,660.40 = 46,486.70/x
  3. Step 3: Cross multiply
    78,741.69x = 108,660.40 × 46,486.70
  4. Step 4: Simplify right side
    78,741.69x = 5,051,262,873.38
  5. Step 5: Solve for x
    x = 5,051,262,873.38/78,741.69
  6. Step 6: Final answer
    x = 64,149.79

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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.