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Finding the Fourth Proportional to 173,420, 260,130 and 42,092

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Solution

The fourth proportional to 173,420, 260,130 and 42,092 is: 63,138

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,420 : 260,130 = 42,092 : x
  2. Step 2: Convert to fraction form
    173,420/260,130 = 42,092/x
  3. Step 3: Cross multiply
    173,420x = 260,130 × 42,092
  4. Step 4: Simplify right side
    173,420x = 10,949,391,960
  5. Step 5: Solve for x
    x = 10,949,391,960/173,420
  6. Step 6: Final answer
    x = 63,138

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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.