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Finding the Fourth Proportional to 196,164, 294,246.72 and 48,420

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Solution

The fourth proportional to 196,164, 294,246.72 and 48,420 is: 72,630.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,164 : 294,246.72 = 48,420 : x
  2. Step 2: Convert to fraction form
    196,164/294,246.72 = 48,420/x
  3. Step 3: Cross multiply
    196,164x = 294,246.72 × 48,420
  4. Step 4: Simplify right side
    196,164x = 14,247,426,182.40
  5. Step 5: Solve for x
    x = 14,247,426,182.40/196,164
  6. Step 6: Final answer
    x = 72,630.18

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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.