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Finding the Fourth Proportional to 103,698, 143,103.24 and 58,986

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Solution

The fourth proportional to 103,698, 143,103.24 and 58,986 is: 81,400.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,698 : 143,103.24 = 58,986 : x
  2. Step 2: Convert to fraction form
    103,698/143,103.24 = 58,986/x
  3. Step 3: Cross multiply
    103,698x = 143,103.24 × 58,986
  4. Step 4: Simplify right side
    103,698x = 8,441,087,714.64
  5. Step 5: Solve for x
    x = 8,441,087,714.64/103,698
  6. Step 6: Final answer
    x = 81,400.68

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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.