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Finding the Fourth Proportional to 116,113.20, 160,231.68 and 65,811.12

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Solution

The fourth proportional to 116,113.20, 160,231.68 and 65,811.12 is: 90,816.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,113.20 : 160,231.68 = 65,811.12 : x
  2. Step 2: Convert to fraction form
    116,113.20/160,231.68 = 65,811.12/x
  3. Step 3: Cross multiply
    116,113.20x = 160,231.68 × 65,811.12
  4. Step 4: Simplify right side
    116,113.20x = 10,545,026,320.28
  5. Step 5: Solve for x
    x = 10,545,026,320.28/116,113.20
  6. Step 6: Final answer
    x = 90,816.77

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1.5x scale

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.