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Finding the Fourth Proportional to 116,115.77, 160,246.10 and 65,144.64

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Solution

The fourth proportional to 116,115.77, 160,246.10 and 65,144.64 is: 89,903.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,115.77 : 160,246.10 = 65,144.64 : x
  2. Step 2: Convert to fraction form
    116,115.77/160,246.10 = 65,144.64/x
  3. Step 3: Cross multiply
    116,115.77x = 160,246.10 × 65,144.64
  4. Step 4: Simplify right side
    116,115.77x = 10,439,174,170.18
  5. Step 5: Solve for x
    x = 10,439,174,170.18/116,115.77
  6. Step 6: Final answer
    x = 89,903.16

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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.