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Finding the Fourth Proportional to 76,679.28, 105,814.81 and 43,138.80

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Solution

The fourth proportional to 76,679.28, 105,814.81 and 43,138.80 is: 59,530.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,679.28 : 105,814.81 = 43,138.80 : x
  2. Step 2: Convert to fraction form
    76,679.28/105,814.81 = 43,138.80/x
  3. Step 3: Cross multiply
    76,679.28x = 105,814.81 × 43,138.80
  4. Step 4: Simplify right side
    76,679.28x = 4,564,723,925.63
  5. Step 5: Solve for x
    x = 4,564,723,925.63/76,679.28
  6. Step 6: Final answer
    x = 59,530.08

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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.