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Finding the Fourth Proportional to 221,097.60, 305,078.40 and 136,209.60

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Solution

The fourth proportional to 221,097.60, 305,078.40 and 136,209.60 is: 187,946.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,097.60 : 305,078.40 = 136,209.60 : x
  2. Step 2: Convert to fraction form
    221,097.60/305,078.40 = 136,209.60/x
  3. Step 3: Cross multiply
    221,097.60x = 305,078.40 × 136,209.60
  4. Step 4: Simplify right side
    221,097.60x = 41,554,606,832.64
  5. Step 5: Solve for x
    x = 41,554,606,832.64/221,097.60
  6. Step 6: Final answer
    x = 187,946.89

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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.