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Finding the Fourth Proportional to 103,685.80, 155,298.30 and 89,861.80

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Solution

The fourth proportional to 103,685.80, 155,298.30 and 89,861.80 is: 134,593.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,685.80 : 155,298.30 = 89,861.80 : x
  2. Step 2: Convert to fraction form
    103,685.80/155,298.30 = 89,861.80/x
  3. Step 3: Cross multiply
    103,685.80x = 155,298.30 × 89,861.80
  4. Step 4: Simplify right side
    103,685.80x = 13,955,384,774.94
  5. Step 5: Solve for x
    x = 13,955,384,774.94/103,685.80
  6. Step 6: Final answer
    x = 134,593.02

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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.