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Finding the Fourth Proportional to 345,820, 518,730 and 83,164

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Solution

The fourth proportional to 345,820, 518,730 and 83,164 is: 124,746

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,820 : 518,730 = 83,164 : x
  2. Step 2: Convert to fraction form
    345,820/518,730 = 83,164/x
  3. Step 3: Cross multiply
    345,820x = 518,730 × 83,164
  4. Step 4: Simplify right side
    345,820x = 43,139,661,720
  5. Step 5: Solve for x
    x = 43,139,661,720/345,820
  6. Step 6: Final answer
    x = 124,746

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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.