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Finding the Fourth Proportional to 196,479.60, 294,765.48 and 78,157.68

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Solution

The fourth proportional to 196,479.60, 294,765.48 and 78,157.68 is: 117,254.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,479.60 : 294,765.48 = 78,157.68 : x
  2. Step 2: Convert to fraction form
    196,479.60/294,765.48 = 78,157.68/x
  3. Step 3: Cross multiply
    196,479.60x = 294,765.48 × 78,157.68
  4. Step 4: Simplify right side
    196,479.60x = 23,038,186,060.89
  5. Step 5: Solve for x
    x = 23,038,186,060.89/196,479.60
  6. Step 6: Final answer
    x = 117,254.85

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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.