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Finding the Fourth Proportional to 186,872.78, 257,845.02 and 118,865

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Solution

The fourth proportional to 186,872.78, 257,845.02 and 118,865 is: 164,008.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,872.78 : 257,845.02 = 118,865 : x
  2. Step 2: Convert to fraction form
    186,872.78/257,845.02 = 118,865/x
  3. Step 3: Cross multiply
    186,872.78x = 257,845.02 × 118,865
  4. Step 4: Simplify right side
    186,872.78x = 30,648,748,302.30
  5. Step 5: Solve for x
    x = 30,648,748,302.30/186,872.78
  6. Step 6: Final answer
    x = 164,008.63

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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.