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Finding the Fourth Proportional to 345,732, 518,598 and 83,076

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Solution

The fourth proportional to 345,732, 518,598 and 83,076 is: 124,614

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,732 : 518,598 = 83,076 : x
  2. Step 2: Convert to fraction form
    345,732/518,598 = 83,076/x
  3. Step 3: Cross multiply
    345,732x = 518,598 × 83,076
  4. Step 4: Simplify right side
    345,732x = 43,083,047,448
  5. Step 5: Solve for x
    x = 43,083,047,448/345,732
  6. Step 6: Final answer
    x = 124,614

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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.