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Finding the Fourth Proportional to 153,764.82, 212,197.05 and 85,788

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Solution

The fourth proportional to 153,764.82, 212,197.05 and 85,788 is: 118,388.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,764.82 : 212,197.05 = 85,788 : x
  2. Step 2: Convert to fraction form
    153,764.82/212,197.05 = 85,788/x
  3. Step 3: Cross multiply
    153,764.82x = 212,197.05 × 85,788
  4. Step 4: Simplify right side
    153,764.82x = 18,203,960,525.40
  5. Step 5: Solve for x
    x = 18,203,960,525.40/153,764.82
  6. Step 6: Final answer
    x = 118,388.33

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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.