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Finding the Fourth Proportional to 214,038.34, 295,375.08 and 129,139

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Solution

The fourth proportional to 214,038.34, 295,375.08 and 129,139 is: 178,213.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,038.34 : 295,375.08 = 129,139 : x
  2. Step 2: Convert to fraction form
    214,038.34/295,375.08 = 129,139/x
  3. Step 3: Cross multiply
    214,038.34x = 295,375.08 × 129,139
  4. Step 4: Simplify right side
    214,038.34x = 38,144,442,456.12
  5. Step 5: Solve for x
    x = 38,144,442,456.12/214,038.34
  6. Step 6: Final answer
    x = 178,213.13

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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.