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Finding the Fourth Proportional to 51,792.80, 77,708.40 and 49,872.80

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Solution

The fourth proportional to 51,792.80, 77,708.40 and 49,872.80 is: 74,827.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,792.80 : 77,708.40 = 49,872.80 : x
  2. Step 2: Convert to fraction form
    51,792.80/77,708.40 = 49,872.80/x
  3. Step 3: Cross multiply
    51,792.80x = 77,708.40 × 49,872.80
  4. Step 4: Simplify right side
    51,792.80x = 3,875,535,491.52
  5. Step 5: Solve for x
    x = 3,875,535,491.52/51,792.80
  6. Step 6: Final answer
    x = 74,827.69

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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.