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Finding the Fourth Proportional to 194,784.60, 292,176.90 and 128,429.40

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Solution

The fourth proportional to 194,784.60, 292,176.90 and 128,429.40 is: 192,644.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,784.60 : 292,176.90 = 128,429.40 : x
  2. Step 2: Convert to fraction form
    194,784.60/292,176.90 = 128,429.40/x
  3. Step 3: Cross multiply
    194,784.60x = 292,176.90 × 128,429.40
  4. Step 4: Simplify right side
    194,784.60x = 37,524,103,960.86
  5. Step 5: Solve for x
    x = 37,524,103,960.86/194,784.60
  6. Step 6: Final answer
    x = 192,644.10

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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.