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Finding the Fourth Proportional to 73,730, 101,749.80 and 40,198.16

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Solution

The fourth proportional to 73,730, 101,749.80 and 40,198.16 is: 55,474.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,730 : 101,749.80 = 40,198.16 : x
  2. Step 2: Convert to fraction form
    73,730/101,749.80 = 40,198.16/x
  3. Step 3: Cross multiply
    73,730x = 101,749.80 × 40,198.16
  4. Step 4: Simplify right side
    73,730x = 4,090,154,740.37
  5. Step 5: Solve for x
    x = 4,090,154,740.37/73,730
  6. Step 6: Final answer
    x = 55,474.77

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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.