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Finding the Fourth Proportional to 116,777, 161,156.10 and 63,785

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Solution

The fourth proportional to 116,777, 161,156.10 and 63,785 is: 88,025.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,777 : 161,156.10 = 63,785 : x
  2. Step 2: Convert to fraction form
    116,777/161,156.10 = 63,785/x
  3. Step 3: Cross multiply
    116,777x = 161,156.10 × 63,785
  4. Step 4: Simplify right side
    116,777x = 10,279,341,838.50
  5. Step 5: Solve for x
    x = 10,279,341,838.50/116,777
  6. Step 6: Final answer
    x = 88,025.40

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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.