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Finding the Fourth Proportional to 116,431.70, 160,693.16 and 71,135.87

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Solution

The fourth proportional to 116,431.70, 160,693.16 and 71,135.87 is: 98,178.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,431.70 : 160,693.16 = 71,135.87 : x
  2. Step 2: Convert to fraction form
    116,431.70/160,693.16 = 71,135.87/x
  3. Step 3: Cross multiply
    116,431.70x = 160,693.16 × 71,135.87
  4. Step 4: Simplify right side
    116,431.70x = 11,431,046,580.50
  5. Step 5: Solve for x
    x = 11,431,046,580.50/116,431.70
  6. Step 6: Final answer
    x = 98,178.13

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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.