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Finding the Fourth Proportional to 74,046, 102,185.64 and 40,514.16

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Solution

The fourth proportional to 74,046, 102,185.64 and 40,514.16 is: 55,910.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,046 : 102,185.64 = 40,514.16 : x
  2. Step 2: Convert to fraction form
    74,046/102,185.64 = 40,514.16/x
  3. Step 3: Cross multiply
    74,046x = 102,185.64 × 40,514.16
  4. Step 4: Simplify right side
    74,046x = 4,139,965,368.66
  5. Step 5: Solve for x
    x = 4,139,965,368.66/74,046
  6. Step 6: Final answer
    x = 55,910.72

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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.