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Finding the Fourth Proportional to 214,334.72, 321,498.84 and 89,675.72

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Solution

The fourth proportional to 214,334.72, 321,498.84 and 89,675.72 is: 134,512.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,334.72 : 321,498.84 = 89,675.72 : x
  2. Step 2: Convert to fraction form
    214,334.72/321,498.84 = 89,675.72/x
  3. Step 3: Cross multiply
    214,334.72x = 321,498.84 × 89,675.72
  4. Step 4: Simplify right side
    214,334.72x = 28,830,639,956.16
  5. Step 5: Solve for x
    x = 28,830,639,956.16/214,334.72
  6. Step 6: Final answer
    x = 134,512.22

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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.