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Finding the Fourth Proportional to 224,406.81, 309,708.78 and 128,913.27

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Solution

The fourth proportional to 224,406.81, 309,708.78 and 128,913.27 is: 177,916.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,406.81 : 309,708.78 = 128,913.27 : x
  2. Step 2: Convert to fraction form
    224,406.81/309,708.78 = 128,913.27/x
  3. Step 3: Cross multiply
    224,406.81x = 309,708.78 × 128,913.27
  4. Step 4: Simplify right side
    224,406.81x = 39,925,571,577.51
  5. Step 5: Solve for x
    x = 39,925,571,577.51/224,406.81
  6. Step 6: Final answer
    x = 177,916.04

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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.