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Finding the Fourth Proportional to 109,402.40, 163,775.55 and 102,914.30

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Solution

The fourth proportional to 109,402.40, 163,775.55 and 102,914.30 is: 154,062.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,402.40 : 163,775.55 = 102,914.30 : x
  2. Step 2: Convert to fraction form
    109,402.40/163,775.55 = 102,914.30/x
  3. Step 3: Cross multiply
    109,402.40x = 163,775.55 × 102,914.30
  4. Step 4: Simplify right side
    109,402.40x = 16,854,846,085.37
  5. Step 5: Solve for x
    x = 16,854,846,085.37/109,402.40
  6. Step 6: Final answer
    x = 154,062.85

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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.