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Finding the Fourth Proportional to 76,546.93, 105,686.31 and 68,455.48

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Solution

The fourth proportional to 76,546.93, 105,686.31 and 68,455.48 is: 94,514.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,546.93 : 105,686.31 = 68,455.48 : x
  2. Step 2: Convert to fraction form
    76,546.93/105,686.31 = 68,455.48/x
  3. Step 3: Cross multiply
    76,546.93x = 105,686.31 × 68,455.48
  4. Step 4: Simplify right side
    76,546.93x = 7,234,807,080.48
  5. Step 5: Solve for x
    x = 7,234,807,080.48/76,546.93
  6. Step 6: Final answer
    x = 94,514.66

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1.5x scale

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.