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Finding the Fourth Proportional to 196,783.61, 295,318.78 and 78,488.78

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Solution

The fourth proportional to 196,783.61, 295,318.78 and 78,488.78 is: 117,790.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,783.61 : 295,318.78 = 78,488.78 : x
  2. Step 2: Convert to fraction form
    196,783.61/295,318.78 = 78,488.78/x
  3. Step 3: Cross multiply
    196,783.61x = 295,318.78 × 78,488.78
  4. Step 4: Simplify right side
    196,783.61x = 23,179,209,080.47
  5. Step 5: Solve for x
    x = 23,179,209,080.47/196,783.61
  6. Step 6: Final answer
    x = 117,790.35

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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.