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Finding the Fourth Proportional to 196,457.60, 294,801.60 and 71,811.20

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Solution

The fourth proportional to 196,457.60, 294,801.60 and 71,811.20 is: 107,758.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,457.60 : 294,801.60 = 71,811.20 : x
  2. Step 2: Convert to fraction form
    196,457.60/294,801.60 = 71,811.20/x
  3. Step 3: Cross multiply
    196,457.60x = 294,801.60 × 71,811.20
  4. Step 4: Simplify right side
    196,457.60x = 21,170,056,657.92
  5. Step 5: Solve for x
    x = 21,170,056,657.92/196,457.60
  6. Step 6: Final answer
    x = 107,758.91

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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.