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Finding the Fourth Proportional to 77,388, 106,805.52 and 45,559.84

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Solution

The fourth proportional to 77,388, 106,805.52 and 45,559.84 is: 62,878.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,388 : 106,805.52 = 45,559.84 : x
  2. Step 2: Convert to fraction form
    77,388/106,805.52 = 45,559.84/x
  3. Step 3: Cross multiply
    77,388x = 106,805.52 × 45,559.84
  4. Step 4: Simplify right side
    77,388x = 4,866,042,402.32
  5. Step 5: Solve for x
    x = 4,866,042,402.32/77,388
  6. Step 6: Final answer
    x = 62,878.51

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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.