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Finding the Fourth Proportional to 78,768.64, 118,087.58 and 31,354.48

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Solution

The fourth proportional to 78,768.64, 118,087.58 and 31,354.48 is: 47,005.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,768.64 : 118,087.58 = 31,354.48 : x
  2. Step 2: Convert to fraction form
    78,768.64/118,087.58 = 31,354.48/x
  3. Step 3: Cross multiply
    78,768.64x = 118,087.58 × 31,354.48
  4. Step 4: Simplify right side
    78,768.64x = 3,702,574,665.36
  5. Step 5: Solve for x
    x = 3,702,574,665.36/78,768.64
  6. Step 6: Final answer
    x = 47,005.69

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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.