Home / 206,970.24-310,457.28-82,343.04

Finding the Fourth Proportional to 206,970.24, 310,457.28 and 82,343.04

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Solution

The fourth proportional to 206,970.24, 310,457.28 and 82,343.04 is: 123,515.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,970.24 : 310,457.28 = 82,343.04 : x
  2. Step 2: Convert to fraction form
    206,970.24/310,457.28 = 82,343.04/x
  3. Step 3: Cross multiply
    206,970.24x = 310,457.28 × 82,343.04
  4. Step 4: Simplify right side
    206,970.24x = 25,563,996,225.33
  5. Step 5: Solve for x
    x = 25,563,996,225.33/206,970.24
  6. Step 6: Final answer
    x = 123,515.32

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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.