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Finding the Fourth Proportional to 219,134.09, 328,719.90 and 76,967.01

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Solution

The fourth proportional to 219,134.09, 328,719.90 and 76,967.01 is: 115,457.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,134.09 : 328,719.90 = 76,967.01 : x
  2. Step 2: Convert to fraction form
    219,134.09/328,719.90 = 76,967.01/x
  3. Step 3: Cross multiply
    219,134.09x = 328,719.90 × 76,967.01
  4. Step 4: Simplify right side
    219,134.09x = 25,300,588,119.13
  5. Step 5: Solve for x
    x = 25,300,588,119.13/219,134.09
  6. Step 6: Final answer
    x = 115,457.11

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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.