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Finding the Fourth Proportional to 74,066, 102,211.08 and 40,532

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Solution

The fourth proportional to 74,066, 102,211.08 and 40,532 is: 55,934.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,066 : 102,211.08 = 40,532 : x
  2. Step 2: Convert to fraction form
    74,066/102,211.08 = 40,532/x
  3. Step 3: Cross multiply
    74,066x = 102,211.08 × 40,532
  4. Step 4: Simplify right side
    74,066x = 4,142,819,494.56
  5. Step 5: Solve for x
    x = 4,142,819,494.56/74,066
  6. Step 6: Final answer
    x = 55,934.16

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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.