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Finding the Fourth Proportional to 103,786.54, 143,175.71 and 99,762.86

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Solution

The fourth proportional to 103,786.54, 143,175.71 and 99,762.86 is: 137,624.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,786.54 : 143,175.71 = 99,762.86 : x
  2. Step 2: Convert to fraction form
    103,786.54/143,175.71 = 99,762.86/x
  3. Step 3: Cross multiply
    103,786.54x = 143,175.71 × 99,762.86
  4. Step 4: Simplify right side
    103,786.54x = 14,283,618,312.13
  5. Step 5: Solve for x
    x = 14,283,618,312.13/103,786.54
  6. Step 6: Final answer
    x = 137,624.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.