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Finding the Fourth Proportional to 52,842, 72,922.50 and 31,625.40

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Solution

The fourth proportional to 52,842, 72,922.50 and 31,625.40 is: 43,643.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,842 : 72,922.50 = 31,625.40 : x
  2. Step 2: Convert to fraction form
    52,842/72,922.50 = 31,625.40/x
  3. Step 3: Cross multiply
    52,842x = 72,922.50 × 31,625.40
  4. Step 4: Simplify right side
    52,842x = 2,306,203,231.50
  5. Step 5: Solve for x
    x = 2,306,203,231.50/52,842
  6. Step 6: Final answer
    x = 43,643.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.