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Finding the Fourth Proportional to 52,362, 72,259 and 31,140.84

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Solution

The fourth proportional to 52,362, 72,259 and 31,140.84 is: 42,974.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,362 : 72,259 = 31,140.84 : x
  2. Step 2: Convert to fraction form
    52,362/72,259 = 31,140.84/x
  3. Step 3: Cross multiply
    52,362x = 72,259 × 31,140.84
  4. Step 4: Simplify right side
    52,362x = 2,250,205,957.56
  5. Step 5: Solve for x
    x = 2,250,205,957.56/52,362
  6. Step 6: Final answer
    x = 42,974.03

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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.