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Finding the Fourth Proportional to 77,384, 106,800 and 45,555.84

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Solution

The fourth proportional to 77,384, 106,800 and 45,555.84 is: 62,872.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,384 : 106,800 = 45,555.84 : x
  2. Step 2: Convert to fraction form
    77,384/106,800 = 45,555.84/x
  3. Step 3: Cross multiply
    77,384x = 106,800 × 45,555.84
  4. Step 4: Simplify right side
    77,384x = 4,865,363,712
  5. Step 5: Solve for x
    x = 4,865,363,712/77,384
  6. Step 6: Final answer
    x = 62,872.99

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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.