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Finding the Fourth Proportional to 69,457.97, 95,850 and 40,777.16

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Solution

The fourth proportional to 69,457.97, 95,850 and 40,777.16 is: 56,271.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,457.97 : 95,850 = 40,777.16 : x
  2. Step 2: Convert to fraction form
    69,457.97/95,850 = 40,777.16/x
  3. Step 3: Cross multiply
    69,457.97x = 95,850 × 40,777.16
  4. Step 4: Simplify right side
    69,457.97x = 3,908,490,306.75
  5. Step 5: Solve for x
    x = 3,908,490,306.75/69,457.97
  6. Step 6: Final answer
    x = 56,271.30

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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.