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Finding the Fourth Proportional to 103,089.78, 154,539.52 and 71,514.77

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Solution

The fourth proportional to 103,089.78, 154,539.52 and 71,514.77 is: 107,206.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,089.78 : 154,539.52 = 71,514.77 : x
  2. Step 2: Convert to fraction form
    103,089.78/154,539.52 = 71,514.77/x
  3. Step 3: Cross multiply
    103,089.78x = 154,539.52 × 71,514.77
  4. Step 4: Simplify right side
    103,089.78x = 11,051,857,277.23
  5. Step 5: Solve for x
    x = 11,051,857,277.23/103,089.78
  6. Step 6: Final answer
    x = 107,206.14

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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.