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Finding the Fourth Proportional to 101,469.98, 140,028.74 and 56,149.87

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Solution

The fourth proportional to 101,469.98, 140,028.74 and 56,149.87 is: 77,486.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,469.98 : 140,028.74 = 56,149.87 : x
  2. Step 2: Convert to fraction form
    101,469.98/140,028.74 = 56,149.87/x
  3. Step 3: Cross multiply
    101,469.98x = 140,028.74 × 56,149.87
  4. Step 4: Simplify right side
    101,469.98x = 7,862,595,547.26
  5. Step 5: Solve for x
    x = 7,862,595,547.26/101,469.98
  6. Step 6: Final answer
    x = 77,486.91

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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.