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Finding the Fourth Proportional to 345,355.17, 518,102.83 and 108,642.80

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Solution

The fourth proportional to 345,355.17, 518,102.83 and 108,642.80 is: 162,986.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,355.17 : 518,102.83 = 108,642.80 : x
  2. Step 2: Convert to fraction form
    345,355.17/518,102.83 = 108,642.80/x
  3. Step 3: Cross multiply
    345,355.17x = 518,102.83 × 108,642.80
  4. Step 4: Simplify right side
    345,355.17x = 56,288,142,139.12
  5. Step 5: Solve for x
    x = 56,288,142,139.12/345,355.17
  6. Step 6: Final answer
    x = 162,986.24

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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.