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Finding the Fourth Proportional to 103,314.96, 154,726.36 and 71,756.52

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Solution

The fourth proportional to 103,314.96, 154,726.36 and 71,756.52 is: 107,463.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,314.96 : 154,726.36 = 71,756.52 : x
  2. Step 2: Convert to fraction form
    103,314.96/154,726.36 = 71,756.52/x
  3. Step 3: Cross multiply
    103,314.96x = 154,726.36 × 71,756.52
  4. Step 4: Simplify right side
    103,314.96x = 11,102,625,145.87
  5. Step 5: Solve for x
    x = 11,102,625,145.87/103,314.96
  6. Step 6: Final answer
    x = 107,463.87

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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.