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Finding the Fourth Proportional to 106,751.74, 160,155.50 and 31,871.90

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Solution

The fourth proportional to 106,751.74, 160,155.50 and 31,871.90 is: 47,816.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,751.74 : 160,155.50 = 31,871.90 : x
  2. Step 2: Convert to fraction form
    106,751.74/160,155.50 = 31,871.90/x
  3. Step 3: Cross multiply
    106,751.74x = 160,155.50 × 31,871.90
  4. Step 4: Simplify right side
    106,751.74x = 5,104,460,080.45
  5. Step 5: Solve for x
    x = 5,104,460,080.45/106,751.74
  6. Step 6: Final answer
    x = 47,816.18

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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.