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Finding the Fourth Proportional to 101,265, 139,745.10 and 55,946.10

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Solution

The fourth proportional to 101,265, 139,745.10 and 55,946.10 is: 77,205.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,265 : 139,745.10 = 55,946.10 : x
  2. Step 2: Convert to fraction form
    101,265/139,745.10 = 55,946.10/x
  3. Step 3: Cross multiply
    101,265x = 139,745.10 × 55,946.10
  4. Step 4: Simplify right side
    101,265x = 7,818,193,339.11
  5. Step 5: Solve for x
    x = 7,818,193,339.11/101,265
  6. Step 6: Final answer
    x = 77,205.29

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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.