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Finding the Fourth Proportional to 103,952.77, 143,491.68 and 61,511.20

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Solution

The fourth proportional to 103,952.77, 143,491.68 and 61,511.20 is: 84,907.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,952.77 : 143,491.68 = 61,511.20 : x
  2. Step 2: Convert to fraction form
    103,952.77/143,491.68 = 61,511.20/x
  3. Step 3: Cross multiply
    103,952.77x = 143,491.68 × 61,511.20
  4. Step 4: Simplify right side
    103,952.77x = 8,826,345,426.82
  5. Step 5: Solve for x
    x = 8,826,345,426.82/103,952.77
  6. Step 6: Final answer
    x = 84,907.27

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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.