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Finding the Fourth Proportional to 103,790.82, 155,709.52 and 31,750.02

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Solution

The fourth proportional to 103,790.82, 155,709.52 and 31,750.02 is: 47,632.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,790.82 : 155,709.52 = 31,750.02 : x
  2. Step 2: Convert to fraction form
    103,790.82/155,709.52 = 31,750.02/x
  3. Step 3: Cross multiply
    103,790.82x = 155,709.52 × 31,750.02
  4. Step 4: Simplify right side
    103,790.82x = 4,943,780,374.19
  5. Step 5: Solve for x
    x = 4,943,780,374.19/103,790.82
  6. Step 6: Final answer
    x = 47,632.15

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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.