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Finding the Fourth Proportional to 342,139.20, 513,281.70 and 105,505.80

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Solution

The fourth proportional to 342,139.20, 513,281.70 and 105,505.80 is: 158,281.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,139.20 : 513,281.70 = 105,505.80 : x
  2. Step 2: Convert to fraction form
    342,139.20/513,281.70 = 105,505.80/x
  3. Step 3: Cross multiply
    342,139.20x = 513,281.70 × 105,505.80
  4. Step 4: Simplify right side
    342,139.20x = 54,154,196,383.86
  5. Step 5: Solve for x
    x = 54,154,196,383.86/342,139.20
  6. Step 6: Final answer
    x = 158,281.18

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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.