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Finding the Fourth Proportional to 51,290.60, 76,935.90 and 40,231.40

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Solution

The fourth proportional to 51,290.60, 76,935.90 and 40,231.40 is: 60,347.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,290.60 : 76,935.90 = 40,231.40 : x
  2. Step 2: Convert to fraction form
    51,290.60/76,935.90 = 40,231.40/x
  3. Step 3: Cross multiply
    51,290.60x = 76,935.90 × 40,231.40
  4. Step 4: Simplify right side
    51,290.60x = 3,095,238,967.26
  5. Step 5: Solve for x
    x = 3,095,238,967.26/51,290.60
  6. Step 6: Final answer
    x = 60,347.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.