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Finding the Fourth Proportional to 217,393.70, 299,901.23 and 153,766.58

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Solution

The fourth proportional to 217,393.70, 299,901.23 and 153,766.58 is: 212,125.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,393.70 : 299,901.23 = 153,766.58 : x
  2. Step 2: Convert to fraction form
    217,393.70/299,901.23 = 153,766.58/x
  3. Step 3: Cross multiply
    217,393.70x = 299,901.23 × 153,766.58
  4. Step 4: Simplify right side
    217,393.70x = 46,114,784,206.55
  5. Step 5: Solve for x
    x = 46,114,784,206.55/217,393.70
  6. Step 6: Final answer
    x = 212,125.67

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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.