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Finding the Fourth Proportional to 231,011.56, 318,795.90 and 130,409.56

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Solution

The fourth proportional to 231,011.56, 318,795.90 and 130,409.56 is: 179,965.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,011.56 : 318,795.90 = 130,409.56 : x
  2. Step 2: Convert to fraction form
    231,011.56/318,795.90 = 130,409.56/x
  3. Step 3: Cross multiply
    231,011.56x = 318,795.90 × 130,409.56
  4. Step 4: Simplify right side
    231,011.56x = 41,574,033,048.80
  5. Step 5: Solve for x
    x = 41,574,033,048.80/231,011.56
  6. Step 6: Final answer
    x = 179,965.16

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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.