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Finding the Fourth Proportional to 159,814.62, 220,344.72 and 102,359.48

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Solution

The fourth proportional to 159,814.62, 220,344.72 and 102,359.48 is: 141,128.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,814.62 : 220,344.72 = 102,359.48 : x
  2. Step 2: Convert to fraction form
    159,814.62/220,344.72 = 102,359.48/x
  3. Step 3: Cross multiply
    159,814.62x = 220,344.72 × 102,359.48
  4. Step 4: Simplify right side
    159,814.62x = 22,554,369,474.37
  5. Step 5: Solve for x
    x = 22,554,369,474.37/159,814.62
  6. Step 6: Final answer
    x = 141,128.32

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1.5x scale

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.