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Finding the Fourth Proportional to 130,850.50, 180,590.67 and 79,870

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Solution

The fourth proportional to 130,850.50, 180,590.67 and 79,870 is: 110,230.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,850.50 : 180,590.67 = 79,870 : x
  2. Step 2: Convert to fraction form
    130,850.50/180,590.67 = 79,870/x
  3. Step 3: Cross multiply
    130,850.50x = 180,590.67 × 79,870
  4. Step 4: Simplify right side
    130,850.50x = 14,423,776,812.90
  5. Step 5: Solve for x
    x = 14,423,776,812.90/130,850.50
  6. Step 6: Final answer
    x = 110,230.96

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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.