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Finding the Fourth Proportional to 342,057.60, 513,142.56 and 105,400.32

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Solution

The fourth proportional to 342,057.60, 513,142.56 and 105,400.32 is: 158,117.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,057.60 : 513,142.56 = 105,400.32 : x
  2. Step 2: Convert to fraction form
    342,057.60/513,142.56 = 105,400.32/x
  3. Step 3: Cross multiply
    342,057.60x = 513,142.56 × 105,400.32
  4. Step 4: Simplify right side
    342,057.60x = 54,085,390,029.62
  5. Step 5: Solve for x
    x = 54,085,390,029.62/342,057.60
  6. Step 6: Final answer
    x = 158,117.78

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1.5x scale

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.