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Finding the Fourth Proportional to 84,965.90, 127,448.84 and 40,457.71

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Solution

The fourth proportional to 84,965.90, 127,448.84 and 40,457.71 is: 60,686.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,965.90 : 127,448.84 = 40,457.71 : x
  2. Step 2: Convert to fraction form
    84,965.90/127,448.84 = 40,457.71/x
  3. Step 3: Cross multiply
    84,965.90x = 127,448.84 × 40,457.71
  4. Step 4: Simplify right side
    84,965.90x = 5,156,288,208.56
  5. Step 5: Solve for x
    x = 5,156,288,208.56/84,965.90
  6. Step 6: Final answer
    x = 60,686.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.