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Finding the Fourth Proportional to 76,635.68, 105,624.32 and 72,207

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Solution

The fourth proportional to 76,635.68, 105,624.32 and 72,207 is: 99,520.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,635.68 : 105,624.32 = 72,207 : x
  2. Step 2: Convert to fraction form
    76,635.68/105,624.32 = 72,207/x
  3. Step 3: Cross multiply
    76,635.68x = 105,624.32 × 72,207
  4. Step 4: Simplify right side
    76,635.68x = 7,626,814,913.21
  5. Step 5: Solve for x
    x = 7,626,814,913.21/76,635.68
  6. Step 6: Final answer
    x = 99,520.42

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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.