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Finding the Fourth Proportional to 76,325.76, 105,320.68 and 42,326

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Solution

The fourth proportional to 76,325.76, 105,320.68 and 42,326 is: 58,404.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,325.76 : 105,320.68 = 42,326 : x
  2. Step 2: Convert to fraction form
    76,325.76/105,320.68 = 42,326/x
  3. Step 3: Cross multiply
    76,325.76x = 105,320.68 × 42,326
  4. Step 4: Simplify right side
    76,325.76x = 4,457,803,101.68
  5. Step 5: Solve for x
    x = 4,457,803,101.68/76,325.76
  6. Step 6: Final answer
    x = 58,404.96

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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.