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Finding the Fourth Proportional to 153,108.62, 211,289.68 and 85,123.43

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Solution

The fourth proportional to 153,108.62, 211,289.68 and 85,123.43 is: 117,470.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,108.62 : 211,289.68 = 85,123.43 : x
  2. Step 2: Convert to fraction form
    153,108.62/211,289.68 = 85,123.43/x
  3. Step 3: Cross multiply
    153,108.62x = 211,289.68 × 85,123.43
  4. Step 4: Simplify right side
    153,108.62x = 17,985,702,285.20
  5. Step 5: Solve for x
    x = 17,985,702,285.20/153,108.62
  6. Step 6: Final answer
    x = 117,470.21

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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.