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Finding the Fourth Proportional to 116,114.40, 174,128.40 and 45,979.20

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Solution

The fourth proportional to 116,114.40, 174,128.40 and 45,979.20 is: 68,951.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,114.40 : 174,128.40 = 45,979.20 : x
  2. Step 2: Convert to fraction form
    116,114.40/174,128.40 = 45,979.20/x
  3. Step 3: Cross multiply
    116,114.40x = 174,128.40 × 45,979.20
  4. Step 4: Simplify right side
    116,114.40x = 8,006,284,529.28
  5. Step 5: Solve for x
    x = 8,006,284,529.28/116,114.40
  6. Step 6: Final answer
    x = 68,951.69

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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.