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Finding the Fourth Proportional to 74,393, 102,663.96 and 40,859

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Solution

The fourth proportional to 74,393, 102,663.96 and 40,859 is: 56,386.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,393 : 102,663.96 = 40,859 : x
  2. Step 2: Convert to fraction form
    74,393/102,663.96 = 40,859/x
  3. Step 3: Cross multiply
    74,393x = 102,663.96 × 40,859
  4. Step 4: Simplify right side
    74,393x = 4,194,746,741.64
  5. Step 5: Solve for x
    x = 4,194,746,741.64/74,393
  6. Step 6: Final answer
    x = 56,386.31

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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.