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Finding the Fourth Proportional to 78,392.88, 108,180.36 and 42,582.09

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Solution

The fourth proportional to 78,392.88, 108,180.36 and 42,582.09 is: 58,762.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,392.88 : 108,180.36 = 42,582.09 : x
  2. Step 2: Convert to fraction form
    78,392.88/108,180.36 = 42,582.09/x
  3. Step 3: Cross multiply
    78,392.88x = 108,180.36 × 42,582.09
  4. Step 4: Simplify right side
    78,392.88x = 4,606,545,825.75
  5. Step 5: Solve for x
    x = 4,606,545,825.75/78,392.88
  6. Step 6: Final answer
    x = 58,762.30

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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.