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Finding the Fourth Proportional to 219,293, 328,941.12 and 53,081

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Solution

The fourth proportional to 219,293, 328,941.12 and 53,081 is: 79,621.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,293 : 328,941.12 = 53,081 : x
  2. Step 2: Convert to fraction form
    219,293/328,941.12 = 53,081/x
  3. Step 3: Cross multiply
    219,293x = 328,941.12 × 53,081
  4. Step 4: Simplify right side
    219,293x = 17,460,523,590.72
  5. Step 5: Solve for x
    x = 17,460,523,590.72/219,293
  6. Step 6: Final answer
    x = 79,621.89

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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.