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Finding the Fourth Proportional to 73,482, 101,406.78 and 39,948

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Solution

The fourth proportional to 73,482, 101,406.78 and 39,948 is: 55,129.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,482 : 101,406.78 = 39,948 : x
  2. Step 2: Convert to fraction form
    73,482/101,406.78 = 39,948/x
  3. Step 3: Cross multiply
    73,482x = 101,406.78 × 39,948
  4. Step 4: Simplify right side
    73,482x = 4,050,998,047.44
  5. Step 5: Solve for x
    x = 4,050,998,047.44/73,482
  6. Step 6: Final answer
    x = 55,129.12

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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.