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Finding the Fourth Proportional to 78,794.88, 118,117.50 and 31,439.04

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Solution

The fourth proportional to 78,794.88, 118,117.50 and 31,439.04 is: 47,128.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,794.88 : 118,117.50 = 31,439.04 : x
  2. Step 2: Convert to fraction form
    78,794.88/118,117.50 = 31,439.04/x
  3. Step 3: Cross multiply
    78,794.88x = 118,117.50 × 31,439.04
  4. Step 4: Simplify right side
    78,794.88x = 3,713,500,807.20
  5. Step 5: Solve for x
    x = 3,713,500,807.20/78,794.88
  6. Step 6: Final answer
    x = 47,128.71

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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.