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Finding the Fourth Proportional to 105,058.70, 144,980.81 and 57,312.03

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Solution

The fourth proportional to 105,058.70, 144,980.81 and 57,312.03 is: 79,090.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,058.70 : 144,980.81 = 57,312.03 : x
  2. Step 2: Convert to fraction form
    105,058.70/144,980.81 = 57,312.03/x
  3. Step 3: Cross multiply
    105,058.70x = 144,980.81 × 57,312.03
  4. Step 4: Simplify right side
    105,058.70x = 8,309,144,245.58
  5. Step 5: Solve for x
    x = 8,309,144,245.58/105,058.70
  6. Step 6: Final answer
    x = 79,090.50

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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.