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Finding the Fourth Proportional to 342,103.32, 513,106.08 and 117,459.54

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Solution

The fourth proportional to 342,103.32, 513,106.08 and 117,459.54 is: 176,172.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,103.32 : 513,106.08 = 117,459.54 : x
  2. Step 2: Convert to fraction form
    342,103.32/513,106.08 = 117,459.54/x
  3. Step 3: Cross multiply
    342,103.32x = 513,106.08 × 117,459.54
  4. Step 4: Simplify right side
    342,103.32x = 60,269,204,128.00
  5. Step 5: Solve for x
    x = 60,269,204,128.00/342,103.32
  6. Step 6: Final answer
    x = 176,172.52

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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.