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Finding the Fourth Proportional to 73,458, 101,372.40 and 39,924

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Solution

The fourth proportional to 73,458, 101,372.40 and 39,924 is: 55,095.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,458 : 101,372.40 = 39,924 : x
  2. Step 2: Convert to fraction form
    73,458/101,372.40 = 39,924/x
  3. Step 3: Cross multiply
    73,458x = 101,372.40 × 39,924
  4. Step 4: Simplify right side
    73,458x = 4,047,191,697.60
  5. Step 5: Solve for x
    x = 4,047,191,697.60/73,458
  6. Step 6: Final answer
    x = 55,095.32

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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.