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Finding the Fourth Proportional to 116,119, 160,246.08 and 65,143.08

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Solution

The fourth proportional to 116,119, 160,246.08 and 65,143.08 is: 89,898.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,119 : 160,246.08 = 65,143.08 : x
  2. Step 2: Convert to fraction form
    116,119/160,246.08 = 65,143.08/x
  3. Step 3: Cross multiply
    116,119x = 160,246.08 × 65,143.08
  4. Step 4: Simplify right side
    116,119x = 10,438,923,209.13
  5. Step 5: Solve for x
    x = 10,438,923,209.13/116,119
  6. Step 6: Final answer
    x = 89,898.49

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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.