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Finding the Fourth Proportional to 132,838.29, 183,314.48 and 72,409.46

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Solution

The fourth proportional to 132,838.29, 183,314.48 and 72,409.46 is: 99,923.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,838.29 : 183,314.48 = 72,409.46 : x
  2. Step 2: Convert to fraction form
    132,838.29/183,314.48 = 72,409.46/x
  3. Step 3: Cross multiply
    132,838.29x = 183,314.48 × 72,409.46
  4. Step 4: Simplify right side
    132,838.29x = 13,273,701,228.36
  5. Step 5: Solve for x
    x = 13,273,701,228.36/132,838.29
  6. Step 6: Final answer
    x = 99,923.76

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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.