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Finding the Fourth Proportional to 109,041.20, 163,561.80 and 102,129.20

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Solution

The fourth proportional to 109,041.20, 163,561.80 and 102,129.20 is: 153,193.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,041.20 : 163,561.80 = 102,129.20 : x
  2. Step 2: Convert to fraction form
    109,041.20/163,561.80 = 102,129.20/x
  3. Step 3: Cross multiply
    109,041.20x = 163,561.80 × 102,129.20
  4. Step 4: Simplify right side
    109,041.20x = 16,704,435,784.56
  5. Step 5: Solve for x
    x = 16,704,435,784.56/109,041.20
  6. Step 6: Final answer
    x = 153,193.80

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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.