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Finding the Fourth Proportional to 190,313.76, 285,470.64 and 79,428

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Solution

The fourth proportional to 190,313.76, 285,470.64 and 79,428 is: 119,142

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,313.76 : 285,470.64 = 79,428 : x
  2. Step 2: Convert to fraction form
    190,313.76/285,470.64 = 79,428/x
  3. Step 3: Cross multiply
    190,313.76x = 285,470.64 × 79,428
  4. Step 4: Simplify right side
    190,313.76x = 22,674,361,993.92
  5. Step 5: Solve for x
    x = 22,674,361,993.92/190,313.76
  6. Step 6: Final answer
    x = 119,142

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.