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Finding the Fourth Proportional to 196,595.20, 294,931.20 and 78,246.40

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Solution

The fourth proportional to 196,595.20, 294,931.20 and 78,246.40 is: 117,384.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,595.20 : 294,931.20 = 78,246.40 : x
  2. Step 2: Convert to fraction form
    196,595.20/294,931.20 = 78,246.40/x
  3. Step 3: Cross multiply
    196,595.20x = 294,931.20 × 78,246.40
  4. Step 4: Simplify right side
    196,595.20x = 23,077,304,647.68
  5. Step 5: Solve for x
    x = 23,077,304,647.68/196,595.20
  6. Step 6: Final answer
    x = 117,384.88

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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.