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Finding the Fourth Proportional to 109,471.21, 163,886.76 and 98,965.31

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Solution

The fourth proportional to 109,471.21, 163,886.76 and 98,965.31 is: 148,158.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,471.21 : 163,886.76 = 98,965.31 : x
  2. Step 2: Convert to fraction form
    109,471.21/163,886.76 = 98,965.31/x
  3. Step 3: Cross multiply
    109,471.21x = 163,886.76 × 98,965.31
  4. Step 4: Simplify right side
    109,471.21x = 16,219,103,188.86
  5. Step 5: Solve for x
    x = 16,219,103,188.86/109,471.21
  6. Step 6: Final answer
    x = 148,158.62

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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.