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Finding the Fourth Proportional to 105,692.45, 145,839.74 and 60,360.80

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Solution

The fourth proportional to 105,692.45, 145,839.74 and 60,360.80 is: 83,288.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,692.45 : 145,839.74 = 60,360.80 : x
  2. Step 2: Convert to fraction form
    105,692.45/145,839.74 = 60,360.80/x
  3. Step 3: Cross multiply
    105,692.45x = 145,839.74 × 60,360.80
  4. Step 4: Simplify right side
    105,692.45x = 8,803,002,686.72
  5. Step 5: Solve for x
    x = 8,803,002,686.72/105,692.45
  6. Step 6: Final answer
    x = 83,288.85

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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.