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Finding the Fourth Proportional to 105,057.09, 144,978.80 and 57,310.64

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Solution

The fourth proportional to 105,057.09, 144,978.80 and 57,310.64 is: 79,088.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,057.09 : 144,978.80 = 57,310.64 : x
  2. Step 2: Convert to fraction form
    105,057.09/144,978.80 = 57,310.64/x
  3. Step 3: Cross multiply
    105,057.09x = 144,978.80 × 57,310.64
  4. Step 4: Simplify right side
    105,057.09x = 8,308,826,802.98
  5. Step 5: Solve for x
    x = 8,308,826,802.98/105,057.09
  6. Step 6: Final answer
    x = 79,088.68

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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.