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Finding the Fourth Proportional to 137,320.40, 205,788.60 and 109,288.40

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Solution

The fourth proportional to 137,320.40, 205,788.60 and 109,288.40 is: 163,779.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,320.40 : 205,788.60 = 109,288.40 : x
  2. Step 2: Convert to fraction form
    137,320.40/205,788.60 = 109,288.40/x
  3. Step 3: Cross multiply
    137,320.40x = 205,788.60 × 109,288.40
  4. Step 4: Simplify right side
    137,320.40x = 22,490,306,832.24
  5. Step 5: Solve for x
    x = 22,490,306,832.24/137,320.40
  6. Step 6: Final answer
    x = 163,779.79

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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.