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Finding the Fourth Proportional to 153,229.44, 211,455.36 and 86,160

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Solution

The fourth proportional to 153,229.44, 211,455.36 and 86,160 is: 118,900.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,229.44 : 211,455.36 = 86,160 : x
  2. Step 2: Convert to fraction form
    153,229.44/211,455.36 = 86,160/x
  3. Step 3: Cross multiply
    153,229.44x = 211,455.36 × 86,160
  4. Step 4: Simplify right side
    153,229.44x = 18,218,993,817.60
  5. Step 5: Solve for x
    x = 18,218,993,817.60/153,229.44
  6. Step 6: Final answer
    x = 118,900.09

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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.