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Finding the Fourth Proportional to 76,343.64, 105,243.48 and 53,613.42

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Solution

The fourth proportional to 76,343.64, 105,243.48 and 53,613.42 is: 73,908.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,343.64 : 105,243.48 = 53,613.42 : x
  2. Step 2: Convert to fraction form
    76,343.64/105,243.48 = 53,613.42/x
  3. Step 3: Cross multiply
    76,343.64x = 105,243.48 × 53,613.42
  4. Step 4: Simplify right side
    76,343.64x = 5,642,462,895.50
  5. Step 5: Solve for x
    x = 5,642,462,895.50/76,343.64
  6. Step 6: Final answer
    x = 73,908.75

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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.