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Finding the Fourth Proportional to 51,613.82, 77,071.28 and 40,964.40

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Solution

The fourth proportional to 51,613.82, 77,071.28 and 40,964.40 is: 61,169.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,613.82 : 77,071.28 = 40,964.40 : x
  2. Step 2: Convert to fraction form
    51,613.82/77,071.28 = 40,964.40/x
  3. Step 3: Cross multiply
    51,613.82x = 77,071.28 × 40,964.40
  4. Step 4: Simplify right side
    51,613.82x = 3,157,178,742.43
  5. Step 5: Solve for x
    x = 3,157,178,742.43/51,613.82
  6. Step 6: Final answer
    x = 61,169.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.