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Finding the Fourth Proportional to 210,493.68, 315,782.03 and 68,312.44

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Solution

The fourth proportional to 210,493.68, 315,782.03 and 68,312.44 is: 102,482.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,493.68 : 315,782.03 = 68,312.44 : x
  2. Step 2: Convert to fraction form
    210,493.68/315,782.03 = 68,312.44/x
  3. Step 3: Cross multiply
    210,493.68x = 315,782.03 × 68,312.44
  4. Step 4: Simplify right side
    210,493.68x = 21,571,840,977.45
  5. Step 5: Solve for x
    x = 21,571,840,977.45/210,493.68
  6. Step 6: Final answer
    x = 102,482.13

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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.