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Finding the Fourth Proportional to 342,376.20, 513,637.20 and 105,742.80

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Solution

The fourth proportional to 342,376.20, 513,637.20 and 105,742.80 is: 158,636.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,376.20 : 513,637.20 = 105,742.80 : x
  2. Step 2: Convert to fraction form
    342,376.20/513,637.20 = 105,742.80/x
  3. Step 3: Cross multiply
    342,376.20x = 513,637.20 × 105,742.80
  4. Step 4: Simplify right side
    342,376.20x = 54,313,435,712.16
  5. Step 5: Solve for x
    x = 54,313,435,712.16/342,376.20
  6. Step 6: Final answer
    x = 158,636.72

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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.