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Finding the Fourth Proportional to 74,624.90, 102,978.92 and 40,633.28

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Solution

The fourth proportional to 74,624.90, 102,978.92 and 40,633.28 is: 56,072.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,624.90 : 102,978.92 = 40,633.28 : x
  2. Step 2: Convert to fraction form
    74,624.90/102,978.92 = 40,633.28/x
  3. Step 3: Cross multiply
    74,624.90x = 102,978.92 × 40,633.28
  4. Step 4: Simplify right side
    74,624.90x = 4,184,371,290.46
  5. Step 5: Solve for x
    x = 4,184,371,290.46/74,624.90
  6. Step 6: Final answer
    x = 56,072.05

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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.