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Finding the Fourth Proportional to 109,897.20, 164,845.80 and 65,610.45

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Solution

The fourth proportional to 109,897.20, 164,845.80 and 65,610.45 is: 98,415.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,897.20 : 164,845.80 = 65,610.45 : x
  2. Step 2: Convert to fraction form
    109,897.20/164,845.80 = 65,610.45/x
  3. Step 3: Cross multiply
    109,897.20x = 164,845.80 × 65,610.45
  4. Step 4: Simplify right side
    109,897.20x = 10,815,607,118.61
  5. Step 5: Solve for x
    x = 10,815,607,118.61/109,897.20
  6. Step 6: Final answer
    x = 98,415.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.