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Finding the Fourth Proportional to 63,605, 95,407.50 and 19,829

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Solution

The fourth proportional to 63,605, 95,407.50 and 19,829 is: 29,743.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,605 : 95,407.50 = 19,829 : x
  2. Step 2: Convert to fraction form
    63,605/95,407.50 = 19,829/x
  3. Step 3: Cross multiply
    63,605x = 95,407.50 × 19,829
  4. Step 4: Simplify right side
    63,605x = 1,891,835,317.50
  5. Step 5: Solve for x
    x = 1,891,835,317.50/63,605
  6. Step 6: Final answer
    x = 29,743.50

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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.