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Finding the Fourth Proportional to 230,101.80, 345,201.98 and 130,309.16

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Solution

The fourth proportional to 230,101.80, 345,201.98 and 130,309.16 is: 195,491.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,101.80 : 345,201.98 = 130,309.16 : x
  2. Step 2: Convert to fraction form
    230,101.80/345,201.98 = 130,309.16/x
  3. Step 3: Cross multiply
    230,101.80x = 345,201.98 × 130,309.16
  4. Step 4: Simplify right side
    230,101.80x = 44,982,980,044.14
  5. Step 5: Solve for x
    x = 44,982,980,044.14/230,101.80
  6. Step 6: Final answer
    x = 195,491.65

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1.5x scale

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.