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Finding the Fourth Proportional to 214,533.40, 321,702.90 and 81,369.40

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Solution

The fourth proportional to 214,533.40, 321,702.90 and 81,369.40 is: 122,017.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,533.40 : 321,702.90 = 81,369.40 : x
  2. Step 2: Convert to fraction form
    214,533.40/321,702.90 = 81,369.40/x
  3. Step 3: Cross multiply
    214,533.40x = 321,702.90 × 81,369.40
  4. Step 4: Simplify right side
    214,533.40x = 26,176,771,951.26
  5. Step 5: Solve for x
    x = 26,176,771,951.26/214,533.40
  6. Step 6: Final answer
    x = 122,017.23

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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.