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Finding the Fourth Proportional to 114,364.80, 157,723.20 and 76,636.80

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Solution

The fourth proportional to 114,364.80, 157,723.20 and 76,636.80 is: 105,691.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,364.80 : 157,723.20 = 76,636.80 : x
  2. Step 2: Convert to fraction form
    114,364.80/157,723.20 = 76,636.80/x
  3. Step 3: Cross multiply
    114,364.80x = 157,723.20 × 76,636.80
  4. Step 4: Simplify right side
    114,364.80x = 12,087,401,333.76
  5. Step 5: Solve for x
    x = 12,087,401,333.76/114,364.80
  6. Step 6: Final answer
    x = 105,691.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.