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Finding the Fourth Proportional to 153,546.60, 211,891.50 and 86,478.60

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Solution

The fourth proportional to 153,546.60, 211,891.50 and 86,478.60 is: 119,338.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,546.60 : 211,891.50 = 86,478.60 : x
  2. Step 2: Convert to fraction form
    153,546.60/211,891.50 = 86,478.60/x
  3. Step 3: Cross multiply
    153,546.60x = 211,891.50 × 86,478.60
  4. Step 4: Simplify right side
    153,546.60x = 18,324,080,271.90
  5. Step 5: Solve for x
    x = 18,324,080,271.90/153,546.60
  6. Step 6: Final answer
    x = 119,338.89

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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.