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Finding the Fourth Proportional to 157,005.42, 216,665.42 and 85,383.90

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Solution

The fourth proportional to 157,005.42, 216,665.42 and 85,383.90 is: 117,828.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,005.42 : 216,665.42 = 85,383.90 : x
  2. Step 2: Convert to fraction form
    157,005.42/216,665.42 = 85,383.90/x
  3. Step 3: Cross multiply
    157,005.42x = 216,665.42 × 85,383.90
  4. Step 4: Simplify right side
    157,005.42x = 18,499,738,554.74
  5. Step 5: Solve for x
    x = 18,499,738,554.74/157,005.42
  6. Step 6: Final answer
    x = 117,828.66

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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.