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Finding the Fourth Proportional to 105,057.58, 144,979.16 and 57,310.58

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Solution

The fourth proportional to 105,057.58, 144,979.16 and 57,310.58 is: 79,088.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,057.58 : 144,979.16 = 57,310.58 : x
  2. Step 2: Convert to fraction form
    105,057.58/144,979.16 = 57,310.58/x
  3. Step 3: Cross multiply
    105,057.58x = 144,979.16 × 57,310.58
  4. Step 4: Simplify right side
    105,057.58x = 8,308,839,823.41
  5. Step 5: Solve for x
    x = 8,308,839,823.41/105,057.58
  6. Step 6: Final answer
    x = 79,088.44

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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.