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Finding the Fourth Proportional to 145,212.70, 217,829.85 and 51,706.30

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Solution

The fourth proportional to 145,212.70, 217,829.85 and 51,706.30 is: 77,563.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,212.70 : 217,829.85 = 51,706.30 : x
  2. Step 2: Convert to fraction form
    145,212.70/217,829.85 = 51,706.30/x
  3. Step 3: Cross multiply
    145,212.70x = 217,829.85 × 51,706.30
  4. Step 4: Simplify right side
    145,212.70x = 11,263,175,573.06
  5. Step 5: Solve for x
    x = 11,263,175,573.06/145,212.70
  6. Step 6: Final answer
    x = 77,563.30

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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.