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Finding the Fourth Proportional to 153,082, 211,179.55 and 99,383.86

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Solution

The fourth proportional to 153,082, 211,179.55 and 99,383.86 is: 137,101.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,082 : 211,179.55 = 99,383.86 : x
  2. Step 2: Convert to fraction form
    153,082/211,179.55 = 99,383.86/x
  3. Step 3: Cross multiply
    153,082x = 211,179.55 × 99,383.86
  4. Step 4: Simplify right side
    153,082x = 20,987,838,832.06
  5. Step 5: Solve for x
    x = 20,987,838,832.06/153,082
  6. Step 6: Final answer
    x = 137,101.94

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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.