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Finding the Fourth Proportional to 342,155.96, 513,200.95 and 105,435.08

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Solution

The fourth proportional to 342,155.96, 513,200.95 and 105,435.08 is: 158,142.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,155.96 : 513,200.95 = 105,435.08 : x
  2. Step 2: Convert to fraction form
    342,155.96/513,200.95 = 105,435.08/x
  3. Step 3: Cross multiply
    342,155.96x = 513,200.95 × 105,435.08
  4. Step 4: Simplify right side
    342,155.96x = 54,109,380,389.73
  5. Step 5: Solve for x
    x = 54,109,380,389.73/342,155.96
  6. Step 6: Final answer
    x = 158,142.45

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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.