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Finding the Fourth Proportional to 103,104.63, 142,354.13 and 64,401.62

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Solution

The fourth proportional to 103,104.63, 142,354.13 and 64,401.62 is: 88,917.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,104.63 : 142,354.13 = 64,401.62 : x
  2. Step 2: Convert to fraction form
    103,104.63/142,354.13 = 64,401.62/x
  3. Step 3: Cross multiply
    103,104.63x = 142,354.13 × 64,401.62
  4. Step 4: Simplify right side
    103,104.63x = 9,167,835,551.91
  5. Step 5: Solve for x
    x = 9,167,835,551.91/103,104.63
  6. Step 6: Final answer
    x = 88,917.79

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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.