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Finding the Fourth Proportional to 76,728.34, 105,890.43 and 46,514.93

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Solution

The fourth proportional to 76,728.34, 105,890.43 and 46,514.93 is: 64,193.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,728.34 : 105,890.43 = 46,514.93 : x
  2. Step 2: Convert to fraction form
    76,728.34/105,890.43 = 46,514.93/x
  3. Step 3: Cross multiply
    76,728.34x = 105,890.43 × 46,514.93
  4. Step 4: Simplify right side
    76,728.34x = 4,925,485,939.12
  5. Step 5: Solve for x
    x = 4,925,485,939.12/76,728.34
  6. Step 6: Final answer
    x = 64,193.83

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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.