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Finding the Fourth Proportional to 194,654.40, 291,981.60 and 128,169.60

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Solution

The fourth proportional to 194,654.40, 291,981.60 and 128,169.60 is: 192,254.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,654.40 : 291,981.60 = 128,169.60 : x
  2. Step 2: Convert to fraction form
    194,654.40/291,981.60 = 128,169.60/x
  3. Step 3: Cross multiply
    194,654.40x = 291,981.60 × 128,169.60
  4. Step 4: Simplify right side
    194,654.40x = 37,423,164,879.36
  5. Step 5: Solve for x
    x = 37,423,164,879.36/194,654.40
  6. Step 6: Final answer
    x = 192,254.40

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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.