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Finding the Fourth Proportional to 102,530.60, 153,834.30 and 40,245.80

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Solution

The fourth proportional to 102,530.60, 153,834.30 and 40,245.80 is: 60,383.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,530.60 : 153,834.30 = 40,245.80 : x
  2. Step 2: Convert to fraction form
    102,530.60/153,834.30 = 40,245.80/x
  3. Step 3: Cross multiply
    102,530.60x = 153,834.30 × 40,245.80
  4. Step 4: Simplify right side
    102,530.60x = 6,191,184,470.94
  5. Step 5: Solve for x
    x = 6,191,184,470.94/102,530.60
  6. Step 6: Final answer
    x = 60,383.77

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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.