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Finding the Fourth Proportional to 71,075.34, 106,606.82 and 28,959.86

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Solution

The fourth proportional to 71,075.34, 106,606.82 and 28,959.86 is: 43,437.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,075.34 : 106,606.82 = 28,959.86 : x
  2. Step 2: Convert to fraction form
    71,075.34/106,606.82 = 28,959.86/x
  3. Step 3: Cross multiply
    71,075.34x = 106,606.82 × 28,959.86
  4. Step 4: Simplify right side
    71,075.34x = 3,087,318,582.25
  5. Step 5: Solve for x
    x = 3,087,318,582.25/71,075.34
  6. Step 6: Final answer
    x = 43,437.27

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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.