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Finding the Fourth Proportional to 65,075.30, 89,806 and 42,428.92

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Solution

The fourth proportional to 65,075.30, 89,806 and 42,428.92 is: 58,553.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,075.30 : 89,806 = 42,428.92 : x
  2. Step 2: Convert to fraction form
    65,075.30/89,806 = 42,428.92/x
  3. Step 3: Cross multiply
    65,075.30x = 89,806 × 42,428.92
  4. Step 4: Simplify right side
    65,075.30x = 3,810,371,589.52
  5. Step 5: Solve for x
    x = 3,810,371,589.52/65,075.30
  6. Step 6: Final answer
    x = 58,553.27

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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.