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Finding the Fourth Proportional to 114,883.96, 172,149.90 and 77,305

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Solution

The fourth proportional to 114,883.96, 172,149.90 and 77,305 is: 115,839.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,883.96 : 172,149.90 = 77,305 : x
  2. Step 2: Convert to fraction form
    114,883.96/172,149.90 = 77,305/x
  3. Step 3: Cross multiply
    114,883.96x = 172,149.90 × 77,305
  4. Step 4: Simplify right side
    114,883.96x = 13,308,048,019.50
  5. Step 5: Solve for x
    x = 13,308,048,019.50/114,883.96
  6. Step 6: Final answer
    x = 115,839.04

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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.