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Finding the Fourth Proportional to 157,086.62, 216,784.93 and 85,469.36

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Solution

The fourth proportional to 157,086.62, 216,784.93 and 85,469.36 is: 117,950.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,086.62 : 216,784.93 = 85,469.36 : x
  2. Step 2: Convert to fraction form
    157,086.62/216,784.93 = 85,469.36/x
  3. Step 3: Cross multiply
    157,086.62x = 216,784.93 × 85,469.36
  4. Step 4: Simplify right side
    157,086.62x = 18,528,468,140.82
  5. Step 5: Solve for x
    x = 18,528,468,140.82/157,086.62
  6. Step 6: Final answer
    x = 117,950.65

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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.