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Finding the Fourth Proportional to 214,478.88, 321,710.24 and 64,715.17

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Solution

The fourth proportional to 214,478.88, 321,710.24 and 64,715.17 is: 97,070.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,478.88 : 321,710.24 = 64,715.17 : x
  2. Step 2: Convert to fraction form
    214,478.88/321,710.24 = 64,715.17/x
  3. Step 3: Cross multiply
    214,478.88x = 321,710.24 × 64,715.17
  4. Step 4: Simplify right side
    214,478.88x = 20,819,532,872.34
  5. Step 5: Solve for x
    x = 20,819,532,872.34/214,478.88
  6. Step 6: Final answer
    x = 97,070.32

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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.