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Finding the Fourth Proportional to 102,143.52, 140,960.93 and 56,822.94

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Solution

The fourth proportional to 102,143.52, 140,960.93 and 56,822.94 is: 78,417.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,143.52 : 140,960.93 = 56,822.94 : x
  2. Step 2: Convert to fraction form
    102,143.52/140,960.93 = 56,822.94/x
  3. Step 3: Cross multiply
    102,143.52x = 140,960.93 × 56,822.94
  4. Step 4: Simplify right side
    102,143.52x = 8,009,814,183.62
  5. Step 5: Solve for x
    x = 8,009,814,183.62/102,143.52
  6. Step 6: Final answer
    x = 78,417.25

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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.