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Finding the Fourth Proportional to 176,138.10, 264,207.15 and 57,780.90

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Solution

The fourth proportional to 176,138.10, 264,207.15 and 57,780.90 is: 86,671.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,138.10 : 264,207.15 = 57,780.90 : x
  2. Step 2: Convert to fraction form
    176,138.10/264,207.15 = 57,780.90/x
  3. Step 3: Cross multiply
    176,138.10x = 264,207.15 × 57,780.90
  4. Step 4: Simplify right side
    176,138.10x = 15,266,126,913.44
  5. Step 5: Solve for x
    x = 15,266,126,913.44/176,138.10
  6. Step 6: Final answer
    x = 86,671.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.