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Finding the Fourth Proportional to 201,690, 278,332.20 and 116,834.40

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Solution

The fourth proportional to 201,690, 278,332.20 and 116,834.40 is: 161,231.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,690 : 278,332.20 = 116,834.40 : x
  2. Step 2: Convert to fraction form
    201,690/278,332.20 = 116,834.40/x
  3. Step 3: Cross multiply
    201,690x = 278,332.20 × 116,834.40
  4. Step 4: Simplify right side
    201,690x = 32,518,775,587.68
  5. Step 5: Solve for x
    x = 32,518,775,587.68/201,690
  6. Step 6: Final answer
    x = 161,231.47

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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.