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Finding the Fourth Proportional to 219,113.45, 328,706.51 and 76,921.82

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Solution

The fourth proportional to 219,113.45, 328,706.51 and 76,921.82 is: 115,395.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,113.45 : 328,706.51 = 76,921.82 : x
  2. Step 2: Convert to fraction form
    219,113.45/328,706.51 = 76,921.82/x
  3. Step 3: Cross multiply
    219,113.45x = 328,706.51 × 76,921.82
  4. Step 4: Simplify right side
    219,113.45x = 25,284,700,966.91
  5. Step 5: Solve for x
    x = 25,284,700,966.91/219,113.45
  6. Step 6: Final answer
    x = 115,395.48

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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.