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Finding the Fourth Proportional to 253,582.83, 380,411.33 and 76,103.87

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Solution

The fourth proportional to 253,582.83, 380,411.33 and 76,103.87 is: 114,166.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,582.83 : 380,411.33 = 76,103.87 : x
  2. Step 2: Convert to fraction form
    253,582.83/380,411.33 = 76,103.87/x
  3. Step 3: Cross multiply
    253,582.83x = 380,411.33 × 76,103.87
  4. Step 4: Simplify right side
    253,582.83x = 28,950,772,122.27
  5. Step 5: Solve for x
    x = 28,950,772,122.27/253,582.83
  6. Step 6: Final answer
    x = 114,166.93

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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.