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Finding the Fourth Proportional to 74,498.31, 102,807.67 and 40,964.31

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Solution

The fourth proportional to 74,498.31, 102,807.67 and 40,964.31 is: 56,530.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,498.31 : 102,807.67 = 40,964.31 : x
  2. Step 2: Convert to fraction form
    74,498.31/102,807.67 = 40,964.31/x
  3. Step 3: Cross multiply
    74,498.31x = 102,807.67 × 40,964.31
  4. Step 4: Simplify right side
    74,498.31x = 4,211,445,623.69
  5. Step 5: Solve for x
    x = 4,211,445,623.69/74,498.31
  6. Step 6: Final answer
    x = 56,530.75

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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.