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Finding the Fourth Proportional to 114,980.50, 172,421.47 and 40,078.47

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Solution

The fourth proportional to 114,980.50, 172,421.47 and 40,078.47 is: 60,100.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,980.50 : 172,421.47 = 40,078.47 : x
  2. Step 2: Convert to fraction form
    114,980.50/172,421.47 = 40,078.47/x
  3. Step 3: Cross multiply
    114,980.50x = 172,421.47 × 40,078.47
  4. Step 4: Simplify right side
    114,980.50x = 6,910,388,712.75
  5. Step 5: Solve for x
    x = 6,910,388,712.75/114,980.50
  6. Step 6: Final answer
    x = 60,100.53

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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.