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Finding the Fourth Proportional to 159,538.40, 239,307.60 and 100,489.40

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Solution

The fourth proportional to 159,538.40, 239,307.60 and 100,489.40 is: 150,734.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,538.40 : 239,307.60 = 100,489.40 : x
  2. Step 2: Convert to fraction form
    159,538.40/239,307.60 = 100,489.40/x
  3. Step 3: Cross multiply
    159,538.40x = 239,307.60 × 100,489.40
  4. Step 4: Simplify right side
    159,538.40x = 24,047,877,139.44
  5. Step 5: Solve for x
    x = 24,047,877,139.44/159,538.40
  6. Step 6: Final answer
    x = 150,734.10

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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.