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Finding the Fourth Proportional to 342,072.64, 513,116.64 and 117,431.36

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Solution

The fourth proportional to 342,072.64, 513,116.64 and 117,431.36 is: 176,149.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,072.64 : 513,116.64 = 117,431.36 : x
  2. Step 2: Convert to fraction form
    342,072.64/513,116.64 = 117,431.36/x
  3. Step 3: Cross multiply
    342,072.64x = 513,116.64 × 117,431.36
  4. Step 4: Simplify right side
    342,072.64x = 60,255,984,873.83
  5. Step 5: Solve for x
    x = 60,255,984,873.83/342,072.64
  6. Step 6: Final answer
    x = 176,149.68

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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.