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Finding the Fourth Proportional to 214,901.70, 322,239.15 and 72,698.10

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Solution

The fourth proportional to 214,901.70, 322,239.15 and 72,698.10 is: 109,008.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,901.70 : 322,239.15 = 72,698.10 : x
  2. Step 2: Convert to fraction form
    214,901.70/322,239.15 = 72,698.10/x
  3. Step 3: Cross multiply
    214,901.70x = 322,239.15 × 72,698.10
  4. Step 4: Simplify right side
    214,901.70x = 23,426,173,950.62
  5. Step 5: Solve for x
    x = 23,426,173,950.62/214,901.70
  6. Step 6: Final answer
    x = 109,008.79

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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.