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Finding the Fourth Proportional to 97,074, 145,610.88 and 30,519.94

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Solution

The fourth proportional to 97,074, 145,610.88 and 30,519.94 is: 45,779.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,074 : 145,610.88 = 30,519.94 : x
  2. Step 2: Convert to fraction form
    97,074/145,610.88 = 30,519.94/x
  3. Step 3: Cross multiply
    97,074x = 145,610.88 × 30,519.94
  4. Step 4: Simplify right side
    97,074x = 4,444,035,320.95
  5. Step 5: Solve for x
    x = 4,444,035,320.95/97,074
  6. Step 6: Final answer
    x = 45,779.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.