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Finding the Fourth Proportional to 224,599.25, 309,911.73 and 129,088.10

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Solution

The fourth proportional to 224,599.25, 309,911.73 and 129,088.10 is: 178,121.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,599.25 : 309,911.73 = 129,088.10 : x
  2. Step 2: Convert to fraction form
    224,599.25/309,911.73 = 129,088.10/x
  3. Step 3: Cross multiply
    224,599.25x = 309,911.73 × 129,088.10
  4. Step 4: Simplify right side
    224,599.25x = 40,005,916,393.41
  5. Step 5: Solve for x
    x = 40,005,916,393.41/224,599.25
  6. Step 6: Final answer
    x = 178,121.33

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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.