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Finding the Fourth Proportional to 52,236, 72,085.68 and 29,880

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Solution

The fourth proportional to 52,236, 72,085.68 and 29,880 is: 41,234.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,236 : 72,085.68 = 29,880 : x
  2. Step 2: Convert to fraction form
    52,236/72,085.68 = 29,880/x
  3. Step 3: Cross multiply
    52,236x = 72,085.68 × 29,880
  4. Step 4: Simplify right side
    52,236x = 2,153,920,118.40
  5. Step 5: Solve for x
    x = 2,153,920,118.40/52,236
  6. Step 6: Final answer
    x = 41,234.40

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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.