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Finding the Fourth Proportional to 196,434.96, 294,671.43 and 78,079.74

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Solution

The fourth proportional to 196,434.96, 294,671.43 and 78,079.74 is: 117,127.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,434.96 : 294,671.43 = 78,079.74 : x
  2. Step 2: Convert to fraction form
    196,434.96/294,671.43 = 78,079.74/x
  3. Step 3: Cross multiply
    196,434.96x = 294,671.43 × 78,079.74
  4. Step 4: Simplify right side
    196,434.96x = 23,007,868,639.83
  5. Step 5: Solve for x
    x = 23,007,868,639.83/196,434.96
  6. Step 6: Final answer
    x = 117,127.16

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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.