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Finding the Fourth Proportional to 105,080.80, 145,005.78 and 59,752.66

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Solution

The fourth proportional to 105,080.80, 145,005.78 and 59,752.66 is: 82,455.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,080.80 : 145,005.78 = 59,752.66 : x
  2. Step 2: Convert to fraction form
    105,080.80/145,005.78 = 59,752.66/x
  3. Step 3: Cross multiply
    105,080.80x = 145,005.78 × 59,752.66
  4. Step 4: Simplify right side
    105,080.80x = 8,664,481,070.37
  5. Step 5: Solve for x
    x = 8,664,481,070.37/105,080.80
  6. Step 6: Final answer
    x = 82,455.42

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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.