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Finding the Fourth Proportional to 342,154.08, 513,198.14 and 105,433.20

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Solution

The fourth proportional to 342,154.08, 513,198.14 and 105,433.20 is: 158,139.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,154.08 : 513,198.14 = 105,433.20 : x
  2. Step 2: Convert to fraction form
    342,154.08/513,198.14 = 105,433.20/x
  3. Step 3: Cross multiply
    342,154.08x = 513,198.14 × 105,433.20
  4. Step 4: Simplify right side
    342,154.08x = 54,108,121,607.08
  5. Step 5: Solve for x
    x = 54,108,121,607.08/342,154.08
  6. Step 6: Final answer
    x = 158,139.64

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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.