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Finding the Fourth Proportional to 78,700.50, 118,007.46 and 53,768.70

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Solution

The fourth proportional to 78,700.50, 118,007.46 and 53,768.70 is: 80,623.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,700.50 : 118,007.46 = 53,768.70 : x
  2. Step 2: Convert to fraction form
    78,700.50/118,007.46 = 53,768.70/x
  3. Step 3: Cross multiply
    78,700.50x = 118,007.46 × 53,768.70
  4. Step 4: Simplify right side
    78,700.50x = 6,345,107,714.50
  5. Step 5: Solve for x
    x = 6,345,107,714.50/78,700.50
  6. Step 6: Final answer
    x = 80,623.47

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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.