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Finding the Fourth Proportional to 186,998.34, 257,752.89 and 130,311.30

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Solution

The fourth proportional to 186,998.34, 257,752.89 and 130,311.30 is: 179,617.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,998.34 : 257,752.89 = 130,311.30 : x
  2. Step 2: Convert to fraction form
    186,998.34/257,752.89 = 130,311.30/x
  3. Step 3: Cross multiply
    186,998.34x = 257,752.89 × 130,311.30
  4. Step 4: Simplify right side
    186,998.34x = 33,588,114,174.66
  5. Step 5: Solve for x
    x = 33,588,114,174.66/186,998.34
  6. Step 6: Final answer
    x = 179,617.18

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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.