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Finding the Fourth Proportional to 74,338.59, 102,583.76 and 40,346.31

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Solution

The fourth proportional to 74,338.59, 102,583.76 and 40,346.31 is: 55,676.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,338.59 : 102,583.76 = 40,346.31 : x
  2. Step 2: Convert to fraction form
    74,338.59/102,583.76 = 40,346.31/x
  3. Step 3: Cross multiply
    74,338.59x = 102,583.76 × 40,346.31
  4. Step 4: Simplify right side
    74,338.59x = 4,138,875,980.19
  5. Step 5: Solve for x
    x = 4,138,875,980.19/74,338.59
  6. Step 6: Final answer
    x = 55,676.01

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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.