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Finding the Fourth Proportional to 210,611.99, 315,973.32 and 75,689.69

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Solution

The fourth proportional to 210,611.99, 315,973.32 and 75,689.69 is: 113,554.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,611.99 : 315,973.32 = 75,689.69 : x
  2. Step 2: Convert to fraction form
    210,611.99/315,973.32 = 75,689.69/x
  3. Step 3: Cross multiply
    210,611.99x = 315,973.32 × 75,689.69
  4. Step 4: Simplify right side
    210,611.99x = 23,915,921,059.20
  5. Step 5: Solve for x
    x = 23,915,921,059.20/210,611.99
  6. Step 6: Final answer
    x = 113,554.41

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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.