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Finding the Fourth Proportional to 342,006.70, 513,010.05 and 105,421.90

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Solution

The fourth proportional to 342,006.70, 513,010.05 and 105,421.90 is: 158,132.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,006.70 : 513,010.05 = 105,421.90 : x
  2. Step 2: Convert to fraction form
    342,006.70/513,010.05 = 105,421.90/x
  3. Step 3: Cross multiply
    342,006.70x = 513,010.05 × 105,421.90
  4. Step 4: Simplify right side
    342,006.70x = 54,082,494,190.10
  5. Step 5: Solve for x
    x = 54,082,494,190.10/342,006.70
  6. Step 6: Final answer
    x = 158,132.85

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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.