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Finding the Fourth Proportional to 345,784.88, 518,658.96 and 105,898.70

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Solution

The fourth proportional to 345,784.88, 518,658.96 and 105,898.70 is: 158,842.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,784.88 : 518,658.96 = 105,898.70 : x
  2. Step 2: Convert to fraction form
    345,784.88/518,658.96 = 105,898.70/x
  3. Step 3: Cross multiply
    345,784.88x = 518,658.96 × 105,898.70
  4. Step 4: Simplify right side
    345,784.88x = 54,925,309,607.35
  5. Step 5: Solve for x
    x = 54,925,309,607.35/345,784.88
  6. Step 6: Final answer
    x = 158,842.43

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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.