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Finding the Fourth Proportional to 214,462.84, 321,485.07 and 102,112.87

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Solution

The fourth proportional to 214,462.84, 321,485.07 and 102,112.87 is: 153,069.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,462.84 : 321,485.07 = 102,112.87 : x
  2. Step 2: Convert to fraction form
    214,462.84/321,485.07 = 102,112.87/x
  3. Step 3: Cross multiply
    214,462.84x = 321,485.07 × 102,112.87
  4. Step 4: Simplify right side
    214,462.84x = 32,827,763,159.85
  5. Step 5: Solve for x
    x = 32,827,763,159.85/214,462.84
  6. Step 6: Final answer
    x = 153,069.70

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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.