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Finding the Fourth Proportional to 224,302.10, 309,543.81 and 128,827.94

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Solution

The fourth proportional to 224,302.10, 309,543.81 and 128,827.94 is: 177,786.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,302.10 : 309,543.81 = 128,827.94 : x
  2. Step 2: Convert to fraction form
    224,302.10/309,543.81 = 128,827.94/x
  3. Step 3: Cross multiply
    224,302.10x = 309,543.81 × 128,827.94
  4. Step 4: Simplify right side
    224,302.10x = 39,877,891,382.05
  5. Step 5: Solve for x
    x = 39,877,891,382.05/224,302.10
  6. Step 6: Final answer
    x = 177,786.53

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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.