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Finding the Fourth Proportional to 119,409.76, 164,783.28 and 81,682.72

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Solution

The fourth proportional to 119,409.76, 164,783.28 and 81,682.72 is: 112,720.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,409.76 : 164,783.28 = 81,682.72 : x
  2. Step 2: Convert to fraction form
    119,409.76/164,783.28 = 81,682.72/x
  3. Step 3: Cross multiply
    119,409.76x = 164,783.28 × 81,682.72
  4. Step 4: Simplify right side
    119,409.76x = 13,459,946,520.92
  5. Step 5: Solve for x
    x = 13,459,946,520.92/119,409.76
  6. Step 6: Final answer
    x = 112,720.66

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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.