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Finding the Fourth Proportional to 42,609.90, 63,902.70 and 13,020.60

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Solution

The fourth proportional to 42,609.90, 63,902.70 and 13,020.60 is: 19,527.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,609.90 : 63,902.70 = 13,020.60 : x
  2. Step 2: Convert to fraction form
    42,609.90/63,902.70 = 13,020.60/x
  3. Step 3: Cross multiply
    42,609.90x = 63,902.70 × 13,020.60
  4. Step 4: Simplify right side
    42,609.90x = 832,051,495.62
  5. Step 5: Solve for x
    x = 832,051,495.62/42,609.90
  6. Step 6: Final answer
    x = 19,527.19

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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.