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Finding the Fourth Proportional to 103,776.29, 155,713.64 and 61,739.41

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Solution

The fourth proportional to 103,776.29, 155,713.64 and 61,739.41 is: 92,638.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,776.29 : 155,713.64 = 61,739.41 : x
  2. Step 2: Convert to fraction form
    103,776.29/155,713.64 = 61,739.41/x
  3. Step 3: Cross multiply
    103,776.29x = 155,713.64 × 61,739.41
  4. Step 4: Simplify right side
    103,776.29x = 9,613,668,148.50
  5. Step 5: Solve for x
    x = 9,613,668,148.50/103,776.29
  6. Step 6: Final answer
    x = 92,638.39

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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.