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Finding the Fourth Proportional to 74,052, 102,191.76 and 40,518.72

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Solution

The fourth proportional to 74,052, 102,191.76 and 40,518.72 is: 55,915.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,052 : 102,191.76 = 40,518.72 : x
  2. Step 2: Convert to fraction form
    74,052/102,191.76 = 40,518.72/x
  3. Step 3: Cross multiply
    74,052x = 102,191.76 × 40,518.72
  4. Step 4: Simplify right side
    74,052x = 4,140,679,309.75
  5. Step 5: Solve for x
    x = 4,140,679,309.75/74,052
  6. Step 6: Final answer
    x = 55,915.83

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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.