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Finding the Fourth Proportional to 105,044.80, 144,964.88 and 57,301.24

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Solution

The fourth proportional to 105,044.80, 144,964.88 and 57,301.24 is: 79,077.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,044.80 : 144,964.88 = 57,301.24 : x
  2. Step 2: Convert to fraction form
    105,044.80/144,964.88 = 57,301.24/x
  3. Step 3: Cross multiply
    105,044.80x = 144,964.88 × 57,301.24
  4. Step 4: Simplify right side
    105,044.80x = 8,306,667,380.45
  5. Step 5: Solve for x
    x = 8,306,667,380.45/105,044.80
  6. Step 6: Final answer
    x = 79,077.38

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1.5x scale

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.