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Finding the Fourth Proportional to 214,064.16, 321,161.02 and 80,985.20

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Solution

The fourth proportional to 214,064.16, 321,161.02 and 80,985.20 is: 121,502.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,064.16 : 321,161.02 = 80,985.20 : x
  2. Step 2: Convert to fraction form
    214,064.16/321,161.02 = 80,985.20/x
  3. Step 3: Cross multiply
    214,064.16x = 321,161.02 × 80,985.20
  4. Step 4: Simplify right side
    214,064.16x = 26,009,289,436.90
  5. Step 5: Solve for x
    x = 26,009,289,436.90/214,064.16
  6. Step 6: Final answer
    x = 121,502.31

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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.