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Finding the Fourth Proportional to 102,135.92, 140,889.92 and 61,289.52

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Solution

The fourth proportional to 102,135.92, 140,889.92 and 61,289.52 is: 84,544.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,135.92 : 140,889.92 = 61,289.52 : x
  2. Step 2: Convert to fraction form
    102,135.92/140,889.92 = 61,289.52/x
  3. Step 3: Cross multiply
    102,135.92x = 140,889.92 × 61,289.52
  4. Step 4: Simplify right side
    102,135.92x = 8,635,075,569.64
  5. Step 5: Solve for x
    x = 8,635,075,569.64/102,135.92
  6. Step 6: Final answer
    x = 84,544.94

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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.