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Finding the Fourth Proportional to 107,155.85, 160,471.31 and 75,488.09

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Solution

The fourth proportional to 107,155.85, 160,471.31 and 75,488.09 is: 113,047.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,155.85 : 160,471.31 = 75,488.09 : x
  2. Step 2: Convert to fraction form
    107,155.85/160,471.31 = 75,488.09/x
  3. Step 3: Cross multiply
    107,155.85x = 160,471.31 × 75,488.09
  4. Step 4: Simplify right side
    107,155.85x = 12,113,671,511.90
  5. Step 5: Solve for x
    x = 12,113,671,511.90/107,155.85
  6. Step 6: Final answer
    x = 113,047.23

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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.