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Finding the Fourth Proportional to 119,409.48, 164,729.94 and 76,981.68

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Solution

The fourth proportional to 119,409.48, 164,729.94 and 76,981.68 is: 106,199.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,409.48 : 164,729.94 = 76,981.68 : x
  2. Step 2: Convert to fraction form
    119,409.48/164,729.94 = 76,981.68/x
  3. Step 3: Cross multiply
    119,409.48x = 164,729.94 × 76,981.68
  4. Step 4: Simplify right side
    119,409.48x = 12,681,187,527.50
  5. Step 5: Solve for x
    x = 12,681,187,527.50/119,409.48
  6. Step 6: Final answer
    x = 106,199.17

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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.