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Finding the Fourth Proportional to 65,283.09, 90,085.53 and 36,981.69

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Solution

The fourth proportional to 65,283.09, 90,085.53 and 36,981.69 is: 51,031.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,283.09 : 90,085.53 = 36,981.69 : x
  2. Step 2: Convert to fraction form
    65,283.09/90,085.53 = 36,981.69/x
  3. Step 3: Cross multiply
    65,283.09x = 90,085.53 × 36,981.69
  4. Step 4: Simplify right side
    65,283.09x = 3,331,515,143.95
  5. Step 5: Solve for x
    x = 3,331,515,143.95/65,283.09
  6. Step 6: Final answer
    x = 51,031.82

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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.