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Finding the Fourth Proportional to 102,037.69, 140,790.40 and 61,743.61

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Solution

The fourth proportional to 102,037.69, 140,790.40 and 61,743.61 is: 85,193.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,037.69 : 140,790.40 = 61,743.61 : x
  2. Step 2: Convert to fraction form
    102,037.69/140,790.40 = 61,743.61/x
  3. Step 3: Cross multiply
    102,037.69x = 140,790.40 × 61,743.61
  4. Step 4: Simplify right side
    102,037.69x = 8,692,907,549.34
  5. Step 5: Solve for x
    x = 8,692,907,549.34/102,037.69
  6. Step 6: Final answer
    x = 85,193.10

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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.