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Finding the Fourth Proportional to 159,897.58, 220,655.08 and 87,298

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Solution

The fourth proportional to 159,897.58, 220,655.08 and 87,298 is: 120,469.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,897.58 : 220,655.08 = 87,298 : x
  2. Step 2: Convert to fraction form
    159,897.58/220,655.08 = 87,298/x
  3. Step 3: Cross multiply
    159,897.58x = 220,655.08 × 87,298
  4. Step 4: Simplify right side
    159,897.58x = 19,262,747,173.84
  5. Step 5: Solve for x
    x = 19,262,747,173.84/159,897.58
  6. Step 6: Final answer
    x = 120,469.29

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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.