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Finding the Fourth Proportional to 74,646.36, 103,012.09 and 40,655

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Solution

The fourth proportional to 74,646.36, 103,012.09 and 40,655 is: 56,103.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,646.36 : 103,012.09 = 40,655 : x
  2. Step 2: Convert to fraction form
    74,646.36/103,012.09 = 40,655/x
  3. Step 3: Cross multiply
    74,646.36x = 103,012.09 × 40,655
  4. Step 4: Simplify right side
    74,646.36x = 4,187,956,518.95
  5. Step 5: Solve for x
    x = 4,187,956,518.95/74,646.36
  6. Step 6: Final answer
    x = 56,103.96

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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.