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Finding the Fourth Proportional to 77,320, 106,701.83 and 45,073.77

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Solution

The fourth proportional to 77,320, 106,701.83 and 45,073.77 is: 62,201.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,320 : 106,701.83 = 45,073.77 : x
  2. Step 2: Convert to fraction form
    77,320/106,701.83 = 45,073.77/x
  3. Step 3: Cross multiply
    77,320x = 106,701.83 × 45,073.77
  4. Step 4: Simplify right side
    77,320x = 4,809,453,744.00
  5. Step 5: Solve for x
    x = 4,809,453,744.00/77,320
  6. Step 6: Final answer
    x = 62,201.94

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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.