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Finding the Fourth Proportional to 224,558.16, 309,913.20 and 129,068.88

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Solution

The fourth proportional to 224,558.16, 309,913.20 and 129,068.88 is: 178,128.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,558.16 : 309,913.20 = 129,068.88 : x
  2. Step 2: Convert to fraction form
    224,558.16/309,913.20 = 129,068.88/x
  3. Step 3: Cross multiply
    224,558.16x = 309,913.20 × 129,068.88
  4. Step 4: Simplify right side
    224,558.16x = 40,000,149,621.22
  5. Step 5: Solve for x
    x = 40,000,149,621.22/224,558.16
  6. Step 6: Final answer
    x = 178,128.24

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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.