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Finding the Fourth Proportional to 345,730, 518,595 and 83,074

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Solution

The fourth proportional to 345,730, 518,595 and 83,074 is: 124,611

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,730 : 518,595 = 83,074 : x
  2. Step 2: Convert to fraction form
    345,730/518,595 = 83,074/x
  3. Step 3: Cross multiply
    345,730x = 518,595 × 83,074
  4. Step 4: Simplify right side
    345,730x = 43,081,761,030
  5. Step 5: Solve for x
    x = 43,081,761,030/345,730
  6. Step 6: Final answer
    x = 124,611

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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.