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Finding the Fourth Proportional to 153,966.88, 212,462.17 and 85,978.54

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Solution

The fourth proportional to 153,966.88, 212,462.17 and 85,978.54 is: 118,643.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,966.88 : 212,462.17 = 85,978.54 : x
  2. Step 2: Convert to fraction form
    153,966.88/212,462.17 = 85,978.54/x
  3. Step 3: Cross multiply
    153,966.88x = 212,462.17 × 85,978.54
  4. Step 4: Simplify right side
    153,966.88x = 18,267,187,181.83
  5. Step 5: Solve for x
    x = 18,267,187,181.83/153,966.88
  6. Step 6: Final answer
    x = 118,643.61

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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.