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Finding the Fourth Proportional to 219,369, 329,055.30 and 53,157

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Solution

The fourth proportional to 219,369, 329,055.30 and 53,157 is: 79,735.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,369 : 329,055.30 = 53,157 : x
  2. Step 2: Convert to fraction form
    219,369/329,055.30 = 53,157/x
  3. Step 3: Cross multiply
    219,369x = 329,055.30 × 53,157
  4. Step 4: Simplify right side
    219,369x = 17,491,592,582.10
  5. Step 5: Solve for x
    x = 17,491,592,582.10/219,369
  6. Step 6: Final answer
    x = 79,735.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.