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Finding the Fourth Proportional to 65,767.80, 98,692.20 and 28,345.80

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Solution

The fourth proportional to 65,767.80, 98,692.20 and 28,345.80 is: 42,536.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,767.80 : 98,692.20 = 28,345.80 : x
  2. Step 2: Convert to fraction form
    65,767.80/98,692.20 = 28,345.80/x
  3. Step 3: Cross multiply
    65,767.80x = 98,692.20 × 28,345.80
  4. Step 4: Simplify right side
    65,767.80x = 2,797,509,362.76
  5. Step 5: Solve for x
    x = 2,797,509,362.76/65,767.80
  6. Step 6: Final answer
    x = 42,536.16

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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.