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Finding the Fourth Proportional to 62,075, 85,663.50 and 33,780.90

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Solution

The fourth proportional to 62,075, 85,663.50 and 33,780.90 is: 46,617.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,075 : 85,663.50 = 33,780.90 : x
  2. Step 2: Convert to fraction form
    62,075/85,663.50 = 33,780.90/x
  3. Step 3: Cross multiply
    62,075x = 85,663.50 × 33,780.90
  4. Step 4: Simplify right side
    62,075x = 2,893,790,127.15
  5. Step 5: Solve for x
    x = 2,893,790,127.15/62,075
  6. Step 6: Final answer
    x = 46,617.64

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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.