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Finding the Fourth Proportional to 102,409.80, 153,845.10 and 71,305.80

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Solution

The fourth proportional to 102,409.80, 153,845.10 and 71,305.80 is: 107,119.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,409.80 : 153,845.10 = 71,305.80 : x
  2. Step 2: Convert to fraction form
    102,409.80/153,845.10 = 71,305.80/x
  3. Step 3: Cross multiply
    102,409.80x = 153,845.10 × 71,305.80
  4. Step 4: Simplify right side
    102,409.80x = 10,970,047,931.58
  5. Step 5: Solve for x
    x = 10,970,047,931.58/102,409.80
  6. Step 6: Final answer
    x = 107,119.12

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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.