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Finding the Fourth Proportional to 66,613.82, 91,968.03 and 42,782.49

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Solution

The fourth proportional to 66,613.82, 91,968.03 and 42,782.49 is: 59,066.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,613.82 : 91,968.03 = 42,782.49 : x
  2. Step 2: Convert to fraction form
    66,613.82/91,968.03 = 42,782.49/x
  3. Step 3: Cross multiply
    66,613.82x = 91,968.03 × 42,782.49
  4. Step 4: Simplify right side
    66,613.82x = 3,934,621,323.79
  5. Step 5: Solve for x
    x = 3,934,621,323.79/66,613.82
  6. Step 6: Final answer
    x = 59,066.15

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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.