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Finding the Fourth Proportional to 77,007.71, 115,455.58 and 51,986.00

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Solution

The fourth proportional to 77,007.71, 115,455.58 and 51,986.00 is: 77,941.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,007.71 : 115,455.58 = 51,986.00 : x
  2. Step 2: Convert to fraction form
    77,007.71/115,455.58 = 51,986.00/x
  3. Step 3: Cross multiply
    77,007.71x = 115,455.58 × 51,986.00
  4. Step 4: Simplify right side
    77,007.71x = 6,002,073,940.55
  5. Step 5: Solve for x
    x = 6,002,073,940.55/77,007.71
  6. Step 6: Final answer
    x = 77,941.21

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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.