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Finding the Fourth Proportional to 105,057.16, 144,978.68 and 57,310.49

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Solution

The fourth proportional to 105,057.16, 144,978.68 and 57,310.49 is: 79,088.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,057.16 : 144,978.68 = 57,310.49 : x
  2. Step 2: Convert to fraction form
    105,057.16/144,978.68 = 57,310.49/x
  3. Step 3: Cross multiply
    105,057.16x = 144,978.68 × 57,310.49
  4. Step 4: Simplify right side
    105,057.16x = 8,308,798,903.80
  5. Step 5: Solve for x
    x = 8,308,798,903.80/105,057.16
  6. Step 6: Final answer
    x = 79,088.37

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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.