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Finding the Fourth Proportional to 114,879.96, 172,143.90 and 77,301

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Solution

The fourth proportional to 114,879.96, 172,143.90 and 77,301 is: 115,833.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,879.96 : 172,143.90 = 77,301 : x
  2. Step 2: Convert to fraction form
    114,879.96/172,143.90 = 77,301/x
  3. Step 3: Cross multiply
    114,879.96x = 172,143.90 × 77,301
  4. Step 4: Simplify right side
    114,879.96x = 13,306,895,613.90
  5. Step 5: Solve for x
    x = 13,306,895,613.90/114,879.96
  6. Step 6: Final answer
    x = 115,833.05

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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.