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Finding the Fourth Proportional to 102,406.80, 153,840.60 and 71,302.80

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Solution

The fourth proportional to 102,406.80, 153,840.60 and 71,302.80 is: 107,114.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,406.80 : 153,840.60 = 71,302.80 : x
  2. Step 2: Convert to fraction form
    102,406.80/153,840.60 = 71,302.80/x
  3. Step 3: Cross multiply
    102,406.80x = 153,840.60 × 71,302.80
  4. Step 4: Simplify right side
    102,406.80x = 10,969,265,533.68
  5. Step 5: Solve for x
    x = 10,969,265,533.68/102,406.80
  6. Step 6: Final answer
    x = 107,114.62

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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.