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Finding the Fourth Proportional to 216,905.45, 325,402.11 and 76,762.49

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Solution

The fourth proportional to 216,905.45, 325,402.11 and 76,762.49 is: 115,159.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,905.45 : 325,402.11 = 76,762.49 : x
  2. Step 2: Convert to fraction form
    216,905.45/325,402.11 = 76,762.49/x
  3. Step 3: Cross multiply
    216,905.45x = 325,402.11 × 76,762.49
  4. Step 4: Simplify right side
    216,905.45x = 24,978,674,587.84
  5. Step 5: Solve for x
    x = 24,978,674,587.84/216,905.45
  6. Step 6: Final answer
    x = 115,159.28

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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.